{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(666)\n",
    "x = np.random.uniform(-3.0, 3.0, size=100)\n",
    "X = x.reshape(-1, 1)\n",
    "y = 0.5 * x**2 + x + 2 + np.random.normal(0, 1, size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "plt.scatter(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4953707811865009"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "lin_reg = LinearRegression()\n",
    "lin_reg.fit(X, y)\n",
    "lin_reg.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f0a080ab510>]"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "y_predict = lin_reg.predict(X)\n",
    "plt.scatter(x, y)\n",
    "plt.plot(np.sort(x), y_predict[np.argsort(x)], color='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.0750025765636577"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 使用均方误差衡量模型好坏\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "y_predict = lin_reg.predict(X)\n",
    "mean_squared_error(y, y_predict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 多项式回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "def PolynomialRegression(degree):\n",
    "    return Pipeline([\n",
    "        ('poly', PolynomialFeatures(degree=degree)),\n",
    "        ('std_scaler', StandardScaler()),\n",
    "        ('lin_reg', LinearRegression())\n",
    "        ],verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Pipeline] .............. (step 1 of 3) Processing poly, total=   0.0s\n",
      "[Pipeline] ........ (step 2 of 3) Processing std_scaler, total=   0.0s\n",
      "[Pipeline] ........... (step 3 of 3) Processing lin_reg, total=   0.0s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "         steps=[('poly',\n",
       "                 PolynomialFeatures(degree=2, include_bias=True,\n",
       "                                    interaction_only=False, order='C')),\n",
       "                ('std_scaler',\n",
       "                 StandardScaler(copy=True, with_mean=True, with_std=True)),\n",
       "                ('lin_reg',\n",
       "                 LinearRegression(copy_X=True, fit_intercept=True, n_jobs=None,\n",
       "                                  normalize=False))],\n",
       "         verbose=True)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_reg = PolynomialRegression(degree=2)\n",
    "poly_reg.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_predict2 = poly_reg.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0987392142417856"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_squared_error(y, y_predict2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f09fa32bbd0>]"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "y_predict = lin_reg.predict(X)\n",
    "plt.scatter(x, y)\n",
    "plt.plot(np.sort(x), y_predict[np.argsort(x)], color='r')\n",
    "plt.plot(np.sort(x), y_predict2[np.argsort(x)], color='black')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 如果degree（幂数）大一些呢？是不是效果会更好？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Pipeline] .............. (step 1 of 3) Processing poly, total=   0.0s\n",
      "[Pipeline] ........ (step 2 of 3) Processing std_scaler, total=   0.0s\n",
      "[Pipeline] ........... (step 3 of 3) Processing lin_reg, total=   0.0s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.0508466763764202"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_reg2 = PolynomialRegression(degree=10)\n",
    "poly_reg2.fit(X, y)\n",
    "y_predict3 = poly_reg2.predict(X)\n",
    "mean_squared_error(y, y_predict3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f09fa275550>]"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WYXC5+WaYMCEMLl988QU9e/bk9NNP5/LLLy/w/VwiuWAceZEkSVKFU5SRjsWL4Ywz4JtvYORI6NQpPJ6Tk8NFF11E9erVefrpp4lEIgWuxyWSC8aRF0mSJFU4OzrSMXNmuKLYL7+Ef94UXADuuece5s6dy7Bhw9hzzz0LVc/WlkJ2ieQtFSm8RCKRHpFI5NNIJPJJJBJ5LhKJ7FRchUmSJEklZUdGOp58Elq0gKQk+PBDOPHEP1+bM2cO/fr1o2PHjrRr167Q9bhEcsHs8LSxSCRSD7gWaBAEQXYkEnkROA94pphqkyRJkorF31fy2iUhnqzsnH+cl99Ix8aNcNNN8PDDYZ/Lc89BzZp/vr5mzRouvvhi9t57bx5++OEdqs8lkgumqD0vlYGESCSSA1QDlhS9JEmSJKn45NffEh8XIb5ShJy8YPN5+Y10rFoF550HU6ZAjx4waBDEbTlAwo033sjXX3/NW2+9xS677LLDdaY0qmdY2Y4dDi9BEGRGIpH7ge+BbGBqEARTi60ySZIkqRjk19+SkxtQq1o81apU3upIx//+B23ahA36w4ZBt27/vPekSZMYNmwYN998MyeddFJJv5UKryjTxmoBbYH9gSzgpUgkclEQBGP+dt5lwGUA++yzTxFKlSRJkgpva30sWetyyLizeb6vzZoF7dpBEMC0aXDyyf88Z/ny5XTt2pXDDz+cvn37FmPF2pqiNOyfBnwTBMHyIAhygAnACX8/KQiCYUEQJAdBkFy3bt0iPE6SJEkqvMKu5DVyJJx2GtStCx98kH9wCYKAyy67jKysLMaMGUPVqlWLsWJtTVHCy/fA/0UikWqRcBHrU4HPi6csSZIkqXgUdCWv3Fzo2RO6dIFTToE5c+Cgg/K/58iRI0lNTeXee++lYcOGJVW6/qYoPS8fRCKR8cA8YCOQAQwrrsIkSZKk4lCQlbxWr4YLL4TXXoOrr4bBg6HyVj4pf/3111x33XWcfPLJ9OjRIxpvQX+IBEGw/bOKSXJycpCenh6150mSJEnb8913YWP+Z5/BI4/AlVdu/dzc3Fz+85//sHDhQhYsWMC+++4bvUIriEgkMjcIguT8XivqUsmSJElSmZWeDq1bw4YN4XLIp5227fMHDRrEu+++y+jRow0uMWB4kSRJUoW0YgW0bQvVqoWri9Xfzmb2GRkZ3HnnnXTo0IELL7wwOkVqC4YXSZIkVThBAJ06hQHmgw+2H1x+//13LrroIurUqcPQoUMJ16tStBleJEmSVOE89BBMngyPPgpHHrn982+77TY+++wzpkyZQu3atUu+QOXL8CJJkqRil5qRuc3VvWIpPR1uuQVSUuCqq7Z//owZMxg8eDBXXXUVLVq0KPkCtVWuNiZJkqRilZqRSa8JC8nOyd18LCE+jv7tGsY8wKxaBUcdBRs3QkYG7Lrrts//9ddfOfzww6lWrRoZGRlUq1YtOoVWYNtabawom1RKkiRJ/zAobdEWwQUgOyeXQWmLYlRRKAjg8svDpZHHjdt+cAG4+uqrWbp0KWPGjDG4lAJOG5MkSVKxWpKVXajj0TJqFLzwAvTrB40bb//8559/nnHjxtG3b1+OOeaYki9Q22V4kSRJUrFKSkwgM5+gkpSYEINqQj/+CNddByedBLfeuv3zMzMz6d69O8cddxy9evUq+QJLWGnuQSoMp41JkiSpWPVsUZ+E+LgtjiXEx9GzxXbWIy4hQQCXXRb2uYwYAZW28wk4Ly+Pzp07s2HDBkaPHk3lymX7+/5NPUiZWdkEQGZWNr0mLCQ1IzPWpRWa4UWSJEnFKqVRPfq3a0i9xAQiQL3EhJg2648aBW+8AQMGwIEHbv/8IUOGMG3aNB588EEOPvjgki+whJXWHqQd4WpjkiRJKrcyM+Hf/4YjjoA339z+qMtnn33G0UcfTdOmTZk0aVK52Ixy/1snk98n/gjwzYDW0S5nu1xtTJIkSRXOpuliGzYUbLrYhg0buPjii6levTpPP/10uQgusPVeo1j2IO0ow4skSZLKpVGj4PXXCz5drG/fvsybN4/hw4ezxx57lHyBUVLaepCKomx3H0mSJEn5yMyE66+HJk3g6qu3f/57771H//796dy5M2eddVbJFxhFm3qNysNqY/a8SJIkqVwJAmjTBmbOhAUL4KCDtn3+mjVrOOKII8jLy+Pjjz+mZs2a0SlU+dpWz4sjL5IkSSpXnn0WJk+Ghx7afnAB6NGjB9988w1vv/22waWUs+dFkiRJ5cbPP0OPHtC4MVxzzfbPnzhxIk899RQ333wzTZo0KfkCVSSGF0mSJJUbN94Ia9bA8OHbX11syZIldOnShSOOOIK77747OgWqSJw2JkmSpHJhxgwYOxZ694ZDD932uXl5eVxyySVkZ2fz/PPPU7Vq1egUSbjjfXlono8Fw4skSZLKvN9/h+7dwyWRb7tt++cPGjSIGTNmMHz4cP71r3+VfIF/SM3IpNeEhZt3vM/MyqbXhIUABpgCMLxIkqRyy2+4K44BA2DxYpg6FRK2s/fihx9+SO/evWnfvj1du3aNToF/GJS2aHNw2SQ7J5dBaYv8t1kAhhdJklQu+Q13xbF4MfTvD+efD82abfvc1atXc8EFF5CUlMSwYcOIRCLRKfIPS7KyC3VcW7JhX5IklUvb+oZb5UcQhKuK7bQTPPjg9s+/6qqr+Oabbxg7diy1atUq+QL/Jikx/2GhrR3XlgwvkiSpXPIb7oohNRXS0uDuu2GPPcIRt8YDZrL/rZNpPGAmqRmZm88dM2YMo0eP5s477+TEE0+MSb09W9QnIT5ui2MJ8XH0bFE/JvWUNU4bkyRJ5VJSYgKZ+QQVv+EuP9auheuvh4YN4eqrtz1V8N811tG9e3eaNGnC7bffHrOaN01ZtBdrxxheJElSudSzRf0tPsiC33CXN/feC99/D7NmQeXKW58qeN/khWx45Xbi4+MZO3YslSvH9iNwSqN6hpUdZHiRJEnlkt9wl29ffgn33w8XXwxNmoTHtjYl8LNXn+C3efNITU1l7733jmKVKm6GF0mSVG75DXf5dcMNULUqDBz457H8pgqu++pDfkt/lWuuuYa2bdtGuUoVNxv2JUmSVKakpcHkyXDnnWGT/iZ/b4bfuHoFv7z+EPvX/zcD/5pyVGY58iJJkqQyY+PGcNTlwAPDJZL/6q9TBTN/WcPqKYOJZyNvvPoyO+20UwyqVXFz5EWSJEllxpNPwmefhf0uVav+8/WURvV499amdN35Y377+mOeGPo49eu7SEN5EQmCIGoPS05ODtLT06P2PEmSJJUfv/4KBx0ERxwBM2ZAJJL/ebNnz+bkk0/mggsu4NlnnyWytRNVKkUikblBECTn95ojL5IkSSoT+vYNA8zgwVsPLitXruSCCy7ggAMO4PHHHze4lDP2vEiSJKnUW7QIhgyBSy8NR17yEwQBnTp1YtmyZcyZM4edd945ukWqxBleJEmSVOrddBMkJMA992z9nIceeohJkybxyCOPcNRRR0WvOEWN4UWSJEml2tSpMGkS3Hcf7L57/ud8+OGH3HLLLaSkpHD11VdHt0BFjQ37kiRJKrU2boQjj4Ts7HCVsfxWGMvKyuKoo44iLy+PjIwMatWqFf1CVWy21bDvyIskSZJKreHD4dNPYcKE/INLEAR07dqVH374gVmzZhlcyjnDiyRJkkqlrCy44w44+WRIScn/nCFDhjBhwgTuv/9+jj/++KjWp+hzqWRJkiSVSvfcA7/8svWlkdPT07nxxhtp06YNN9xwQ/QLVNQZXiRJklTqfPklPPIIdO0a9rz8XVZWFueccw577LEHzzzzjPu5VBBOG5MkSVKp07NnuDTyf//7z9f+3uey6667Rr9AxYThRZIkSTGVmpHJoLRFLMnKJikxgeaJhzNxYh0GDMh/aeSHHnqICRMm8MADD9jnUsG4VLIkSZJiJjUjk14TFpKdkwtAkBfh52eakFglgW+/qsxOO215/rvvvsvJJ59MmzZtePnll50uVg5ta6lke14kSZIUM4PSFm0OLgBrPt6b9ct3JvHkz/8RXJYvX865557Lvvvuy4gRIwwuFZDTxiRJkhQzS7KyN/857/fKZM0+hKp7r+T3et8DDTe/lpuby4UXXsiKFSt4//33SUxMjEG1ijVHXiRJkhQzSYkJm/+86r2Dycuuwq6nfka9WglbnHfPPfcwbdo0hgwZwpH5LT+mCsHwIkmSpJjp2aI+CfFx5PxSjd/m7keNw39gl73W0rNF/c3nTJ06lb59+9KxY0e6du0aw2oVa04bkyRJUsykNKoHQNeLqhCpnMe/zvie29s13Hz8hx9+4IILLuDf//43jz/+uH0uFZzhRZIkSTFV89d6/PIZ3Hsv9Op14ubjGzZs4Nxzz2X9+vWMHz+eatWqxbBKlQaGF0mSJMVMbi7ccAPsuy/06LHla7fccgtz5szhhRdeoH79+vnfQBWK4UWSJEkxM2oUfPwxPP88WyyN/PLLL/PQQw9xzTXXcM4558SuQJUqblIpSZKkmFizBg4+GPbbD957Dza1syxevJijjz6aBg0aMGvWLKpUqRLTOhVd29qk0pEXSZIkxcTAgbB0Kbzyyp/BJTs7m/bt2xMfH8+LL75ocNEWDC+SJEmKuh9+gPvvh/PPh//7vz+PX3311SxYsIDXX3+dffbZJ3YFqlQyvEiSJCnqbr8d8vKgf/8/j40cOZIRI0bQu3dvTj/99ALfKzUjk0Fpi1iSlU1SYgI9W9TfvNSyyhfDiyRJkqIqPR1Gj4ZevcJVxgA+/vhjrrzySpo2bUqfPn0KfK/UjEx6TVhIdk4uAJlZ2fSasBDAAFMOVYp1AZIkSao4giBcEnm33eDWW8Njq1atokOHDtSqVYtx48YRFxdX4PsNSlu0Obhskp2Ty6C0RcVZtkoJR14kSZIUNRMmwDvvwJNPQs2akJeXR8eOHfn6669588032X333Qt1vyVZ2YU6rrLNkRdJkiRFxfr1cPPNcNhh0KVLeGzAgAG8+uqrPPDAAzRp0qTQ90xKTCjUcZVtjrxIkiQpKoYMga+/hrQ0qFwZ0tLS6N27NxdccAHXXnttge/z1wb9xGrxxFeKkJP3596FCfFx9GxRvyTegmLMTSolSZJU4lasgIMOghNOgNdfh2+++Yajjz6avfbaizlz5lC9evUC3efvDfoA8XERqlepzKrsHFcbKwfcpFKSJEkxdffdsGZNuLfLunXraNeuHUEQ8MorrxQ4uED+Dfo5uQHVq1Zm/l3Ni7vs8i0I4MMP4aefICUl1tUUiOFFkiRJJeqLL2DoULj8cjj00ICOHa/g448/ZtKkSRx44IGFupcN+sXg559hzBgYMQI++ywcEmvbFiKRWFe2XTbsS5IkqUT17AnVq0OfPvD4448zevRo7rrrLlq1alXoe9mgv4NycmDiRDjrLNhrL7jpJthlFxg2DObOLRPBBRx5kSRJUgmaPh0mTYKBA2Hx4ve4/vrrOeOMM7jjjjt26H49W9T/R8+LDfrb8PnnMHIkPPtsOOKy++7hRjudO8Ohh8a6ukIzvEiSJKlE5ObCDTfA/vtD+/Y/0bhxe/bdd19Gjx5NpUo7NgFoUyP+ptXGbNDPx2+/wQsvhNPC3n8/XNrtjDPC9albtoT4+FhXuMMML5IkSSoRI0bAwoUwbtxGLrnkHFatWkVaWhqJiYlFum9Ko3qGlb/Ly4NZs8If+vjxkJ0NDRrAAw/ARRfBbrvFusJiYXiRJElSsVu1Cm6/HRo3hjlzbuSdd95h3LhxNGzYMNallS/ffw+jRsEzz4Sb6NSsCZdcEo6yHHNMmellKSjDiyRJkordPfeEe7tce+3r3HHHI/To0YPzzz8/1mWVD7//Dqmp4SjL9OnhksennAJ9+4YN+dWqxbrCEuMmlZIkSSpWixbBYYdBmzYrmTJlb4455himT59OfBnutYi5IIB588Lm+7FjISsL9tknbLzv2DFsLCon3KRSkiRJUXPjjZCQkEd6ektq1arFiy++aHDZUStWhGFlxAhYsACqVoV27cJpYU2bwg4ufFBWGV4kSZJUbN54AyZPhoMOGsb33y9g9uzZ7L777rEuq2zZuBGmTg1HWV59NdyjJTkZHiiLVBEAACAASURBVH8czjsPatWKdYUxY3iRJElSsdiwIdxCJDFxGV99dS0jRjzJscceG+uyyo4vv/xzT5YlS6BOHbj66nBqmAsdAIYXSZIkFZPHHgv7XaAz11xzBZ07d451SaXf6tXw0kthaHnnnXAa2Omnw6OPhnuzVKkS6wpLFcOLJEmSimzZMrjzzo1EIjNo0mQtDzzwQKxLKr2CAN59N+xjefFFWLsW6teH++6Diy+GPfeMdYWlluFFkiRJRXbTTetYsyaePfccyPjxL9mgn5/MzHBK2MiRsHgx1KgB558fTgs7/vhytydLSTC8SJIkqUjefTeH0aN3Ii7uMSZNGkTdunVjXVLpsX49vPZaGFimTIG8PDjppHAHz/btoXr1WFdYphheJEmStMNycgLatv0JiOOJJ3bnqKOOinVJpcPHH4eBZcwYWLkS6tWDW2+FTp3g4INjXV2ZZXiRJEnSDjv//NmsXHkSbduO49JLL4h1ObH1668wblzYyzJvXths37ZtuCdLs2YQFxfrCss8w4skSZJ2yAsvzObll4+kbt15vPzyebEuJzZyc2HGjHCU5ZVXwmliRx4JjzwCF1wAtWvHusJyxfAiSZKkQvvqq6+4+OLlRCJVmTr1EOLiKtZO73z9NTzzTPjrhx/CjSMvuyxsvm/UKNbVlVuGF0mSJBXKqlWraNp0ADk5T3H99b9w5JG7xrqk6Fi3Dl5+OZwW9tZb4epgLVrA/ffDmWfCTjvFusJyz/AiSZKkAsvNzeXcczvyww+D2GuvdQwYUM6DSxDABx+EgeX558NNJQ88EP77X7jkEth771hXWKEYXiRJklRgvXr1Ii3tSOBgRo6EqlVjXVEJWboURo8Oe1k+/xyqVYMOHcLm+yZN3JMlRooUXiKRSCLwFHAYEABdgiCYUxyFSZIkqXQZPXo0gwa9QqVKn3HOOXDaaeHx1IxMBqUtYklWNkmJCfRsUZ+URvViW+yOyMmB118PR1kmTw6b8U84AZ56Cs45B3beOdYVVnhFHXl5GJgSBEH7SCRSBahWDDVJkiSplPnggw+49NJu1Kr1Drm5lXnwwfB4akYmvSYsJDsnF4DMrGx6TVgIUHYCzKefhiMso0fDsmWwxx5w001h8339+rGuTn+xw+ElEonUBE4COgEEQbAB2FA8ZUmSJKm0+PHHH0lJSSEx8TKWLUvm0Udhzz3D1walLdocXDbJzsllUNqi0h1eVq0Ke1hGjgx7WipXDpvuu3QJm/Ar211RGhXlP5UDgOXAyEgkcgQwF7guCIK1xVKZJEmSYi47O5uUlBTWrIkjIeEBjj4aunf/8/UlWdn5Xre14zGVlxeuEjZyJIwfD7//DocdBg8+CBddBHXrxrpCbUdRFuSuDBwFDA2CoBGwFrj17ydFIpHLIpFIeiQSSV++fHkRHidJkqRoCoKALl26MG/ePE4+eRYrVsTzxBNbbhSflJiQ77VbOx4T330Hd98drhJ26qnw2mvhlLCPPoIFC6BHD4NLGVGU8PIj8GMQBB/88ffxhGFmC0EQDAuCIDkIguS6/qOQJEkqM/r378/zzz/PVVc9zeuvH0D37pCcvOU5PVvUJyE+botjCfFx9GwR416R7GwYNw6aNYP994c+feCgg2DsWPjpJ3j88fDNuGpYmbLD08aCIFgaiUR+iEQi9YMgWAScCnxWfKVJkiQpVl555RV69+7N+edfxAcfdKJuXejX75/nbeprKRWrjQUBpKeH08LGjQv7WvbdF+66Czp2hP32i35NKlZF7US6Bhj7x0pjXwOdi16SJEmSYmnu3LlceOGFHHfccRx33NM891yEsWMhMTH/81Ma1Yttc/7y5TBmTLjE8SefhDvdt2sHXbvCySdDpaJMNlJpUqTwEgTBfCB5uydKkiSpTMjMzOTMM8+kbt26DB8+kRNPrMKpp8L558e6sr/ZuBHS0sLAMnFi+Pdjj4UnnoBzz9160lKZ5hpwkiRJAmDt2rW0adOG3377jffee48BA+qSnQ2PPVaKWkMWLQqnhT37bNi7UrcuXHdd2ID/73/HujqVMMOLJEmSyMvL46KLLuLjjz/mtddeIzOzIWPHQu/epWCfxtWr4cUXw1GW994Llztr1SoMLK1bQ5UqMS5Q0WJ4kSRJErfddhupqak8/PDDnHBCKw47DBo0gNtvj1FBQQCzZ4ejLC++COvWwb/+BQMHwsUXwx57xKgwxZLhRZIkqYIbOXIk9913H927d+eaa66hc2dYuhRSU8Pe96j68cdwStjIkfDVV7DzznDBBeHO9//3f6Vo/ppiwfAiSZJUgb311ltcdtllNGvWjIcffphJkyKMGhVOF/v7ni4lZv36sOl+xAiYOhXy8uA//4E77oCzz4bq1aNUiEq7SBAEUXtYcnJykJ6eHrXnSZIkaeu++OILTjjhBHbffXfmzJlDbm4ihx0Gu+0Wbj5f4q0k8+eHgWXsWPjlF9hrL+jUKfx14IEl/HCVVpFIZG4QBPlGZ0deJEmSKqClS5dy+umnEx8fz+TJk0lMTOTCC2HFCnjjjRIMLitXhhtIjhwJGRnhg846K2y+P+20sBlf2grDiyRJUgWzZs0aWrduzbJly3j77bc54IADmDAhzBR33w1HHlnMD8zNhenTw1GW1FTYsAGOOgqGDAk3kNl112J+oMorw4skSVIFkpOTQ4cOHfj444+ZOHEiycnJLF8OV1wR5olevYrxYf/7XzjCMmpU2IhfuzZ07x6OshxxRDE+SBWF4UWSJKmCCIKA7t27M2XKFIYNG0arVq0IArjySsjKgpkzIT6+iA9ZuxbGjw9HWWbNgkqVoGVLGDwY2rSBqlWL5b2oYjK8SJIkVRD33HMPTz/9NHfccQfdunUDwi1Uxo+He++Fww7bwRsHAcyZE46yPP88rFkDBx0U3vSSS6BeveJ7E6rQDC+SJEkVwMiRI7nrrrvo2LEjd999NxBuo9K9Oxx7LPTsuQM3/emnP/dkWbQoXNL4nHPCPVkaN3ZPFhU7w4skSVI5l5aWRrdu3WjWrBnDhw8nEomwalU4iysSCRv1Kxf0U+GGDTBpUhhY3ngjbMY/8US4+Wbo0CHcVFIqIYYXSZKkcmzevHm0b9+ehg0bMn78eOLj49m4Ec49Nxx5mT69gFuqfPJJ2McyenS4nvKee4bDNZ07wyGHlPj7kMDwIkmSVG59++23tG7dml133ZXJkydTs2ZNAG66CdLSYPjwcCP7rcrKgueeC0dZPvoo7OY/88xwWljz5oUYrpGKR4X8F5eakcmgtEUsycomKTGBni3qk9LIRjJJklR+/PLLL5x++un8/vvvzJgxg6SkJACGDYOHH4YePeDSS/O5MC8P3nwzHGWZMAF+/x0OPxweegguvBDq1InuG5H+osKFl9SMTHpNWEh2Ti4AmVnZ9JqwEMAAI0mSyoXff/+dtm3b8vXXXzNt2jQaNGgAhJnkqqvg9NNh0KC/XfTtt/DMM+Gv776DxMRwhKVrV2jUyOZ7lQoVLrwMSlu0Obhskp2Ty6C0RYYXSZJU5uXl5XHxxRfzzjvv8MILL3DSSScBYX/L2WeH7SnPPQdxcUB2dji6MnIkzJgRBpRmzeC++6BtW9hpp9i+GelvKlx4WZKVXajjkiRJZclNN93E+PHjeeCBBzjnnHOAsHWlTZtwv8jXJgbs8mV6OC3suedg1SrYf3/o2xc6doR99onxO5C2rsKFl6TEBDLzCSpJiQkxqEaSJFVEJdV/O3jwYAYPHsx1111Hjx49ADavLPa//wVM7/YiB7S9Bz79FBISoH37cGrYSSeFyUYq5Srcv9KeLeqTEB+3xbGE+Dh6tqgfo4okSVJFsqn/NjMrm4A/+29TMzKLdN+XXnqJG2+8kXbt2vHAAw8QiURg40ZubPc1U6fC0NzLOenx88J9WIYN+3ODyZNPNriozKhwIy+bvtVwtTFJkhQLhem/LegIzezZs7n44os5/vjjGTNmDHFffgkjR/Lkk/DIbwO5odoTdL1yF+j8KfzRvC+VRZEgCKL2sOTk5CA9PT1qz5MkSSpt9r91Mlv79FXvLwHl7yukQjhbpH+7hlsEmM8//5zGjRtTt3Zt3rvySmq/9BLMmcOblU6leTCF5ketZOI7uxK3U3wJvzOpeEQikblBECTn95pjhJIkSVG0rT7bv04h29YIzSY/ZWZy+imnEJ+dzZQffqD2DTfAqlUsvuUpzq45lUMOrcxzM3c3uKjcMLxIkiRFUX79t3+1KaBsc4XUH35g9R130PqAA1jx889Mjotj/06d4P33yXrnE9qkdqVSXCVeew1q1iyhNyLFQIXreZEkSYqlv/bf5rcCKrC5x+Wvr1fduIFmi9/n4s9nknNfOh2ABZEIE2+8keS+faFatXBlsdbw9dcwfToccEA03pEUPYYXSZKkKEtpVI+URvVoPGDmVrdw6NmiPr1eXsABP37JOQun0fazt0n8fQ1rd0/i8iOPJG3+fIYPG0arSy/dfN0NN8DUqfDUU+Hqx1J5Y3iRJEmKkZ4t6ufblH/7sXVpNWs8p7w0jF2+/Iz1cfG8fVgTql/RjWk/fc7Ivn258847ufQvweWJJ+DRR8MA07VrLN6NVPLseZEkSYqRlEb16N+uIfUSE6icl0v7pQuY/v4QWrU8Gq6/nl1qVoPHH6fq8p9pPn8GX8Sv5e6+fenUqRN9+vTZfJ+ZM+Hqq6FVKxg4MHbvRyppjrxIkiTFUEqNdaT8Nh3GjoIlS6BOHbjqKujcGQ4/fPN5b7zxBpdffjnNmzdn2LBh4SaUwOLF0L49/Otf8NxzELf1tQCkMs/wIkmSFG1r1sD48TBiBMyeHe5w37JlOO/rjDOgSpUtTp87dy4dOnSgYcOGjB8/nvj4cOnjrCxo0yYMLBMnurKYyj/DiyRJUjQEAbz3XhhYXngB1q6FQw6BAQPg4oshKSnfy77++mtat25N7dq1ef3119l5550BwpXFzg1XFpsxw5XFVDEYXiRJkkrSkiXw7LMwciR8+SXUqAHnnQddusDxx8Mf07/ys3TpUpo1a8aGDRt488032XPPPTe/tmllsaefhiZNovFGpNgzvEiSJBW3DRvgtdfCwPLGG5CXF65dfNttcPbZYYDZjqysLFq0aMHPP//MjBkzOPTQQze/tmllsRtvDDNQSUjNyNy8WeampZs37VEjxYrhRZIkqbgsWBAGljFjYMUKqFcPevWCTp3goIMKfJt169Zxxhln8PnnnzN58mSOO+64za9tWlmsdWu4774SeA+EweWvSzhnZmXTa8JCAAOMYsrwIkmSVBS//hou8zViBMydGzbbp6SEq4U1a1bo5b9ycnJo37497733Hi+++CLNmjXb/NpfVxYbN67oK4ttbXRlUNqiLfaeAcjOyWVQ2iLDi2LK8CJJklRYeXlhl/yIEfDKK7B+PRx5JDzyCFxwAdSuvYO3zaNTp0688cYbDBs2jPbt229+7ddfw4XI4uLCGWlFXVlsW6MrS7Ky871ma8elaDG8SJIkFdQ338Azz4S/vv8eatWCyy4LR1kaNSrSrYMg4Nprr2XcuHH079+fbt26bX5t40Y455zw8TNmwP77F+1tANscXUlKTCAzn6CSlJhQ9AdLRVAp1gVIkiSVauvWhT0sTZuG6xHfcw80aBAud7xkSTjaUsTgAtCnTx8ee+wxbrrpJm655ZYtXuvRA6ZPhyefLL6VxbY1utKzRX0S4reck5YQH0fPFvWL5+HSDnLkRZIk6e+CAD78MJwW9vzz8NtvfwaXjh1h772L9XGPPPIIffv2pUuXLgwcOJDIH8snBwHcdRcMGQI33RQO8BSXbY2ubOprcbUxlTaGF0mSpE1+/hlGjw5Dy+efQ7Vq0KFDmBqaNIFKxT9p5ZlnnuG6667jrLPO4sknn9wcXHJzw1XFnngCunYN97IsTj1b1N+i5wW2HF1JaVTPsKJSx/AiSZIqpE0rbS1buZp2Py/g+u/fYc93ZoSp4YQTYPjwsNGkqJ3x2zB+/Hi6du1Ks2bNeO6556hcOfxotn49XHQRjB8frrTcr98297LcIY6uqCyKBEEQtYclJycH6enpUXueJElSflIzMnnqyUm0yZhKu09mUnddFstr1OLXs8/jkFuvDdciLmFTpkzhzDPP5JhjjmHq1KlUr14dgNWrw5WWZ86EBx8M+12kiiQSicwNgiA5v9cceZEkSRXHqlXwwgsc/N+HmPTD5+RUimPmgcfwwuHNefuAo9lj1xq8G4XgMnPmTM466yz+/e9/M3ny5M3BZdkyaNUK5s+HZ5+Fiy8u8VKkMsXwIkmSyre8PJg1K+xjGT8esrOpXGcf7ml6KakNTmZl9cTNp0ZjH5PZs2fTpk0bDjroIKZNm0ZiYvj8b7+F5s3hxx/h1VehdesSL0UqcwwvkiSpfPruOxg1KtyT5ZtvYJddoFMn6NyZLtN/I3PV7/+4pKT3MZkzZw6tWrVin332Yfr06dSpUweAhQuhZctwVebp08OWG0n/5D4vkiSp/Pj993Bp4+bNw50c77orXOJ4zBj46Sd4/HE45hh6tvxX1Pcx+eijj2jZsiV77LEHM2bMYPfddwfg9dehcePwnNmzDS7StjjyIkmSyrYggHnzwmlh48ZBVhbsuy/ceWc40rLffv+4JNorbWVkZNC8eXNq167NzJkzSUpKIgjg/vvhllvgyCNh4kTYa68SebxUbrjamCRJKpuWL4exY2HkSFiwAHbaCc4+O9yT5ZRTSmRPlh2xYMECTjnlFGrUqMHbb7/Nfvvtx6+/wpVXhoNEtRv+TPXTMthrtyouVSzhamOSJKm82LgRpk4NR1kmToScHDj2WBg6FM47DxITt3+PKPrss8847bTTSEhIYObMmey3335MmRJuOrn054A6Jy+m2rGLiUQgMyubXhMWAhhgpK0wvEiSpNLvyy/DEZZRo8Lelbp14ZprwlGWww6LdXX5WrRoEU2bNiUuLo6ZM2ey224HcsUV8OST0KAB1GmXzqrqy7a4Jjsnl0Fpiwwv0lYYXiRJUum0ejW89FI4yvLuuxAXF26C0rlzuI5wlSqxrnCrvvrqK5o2bUpeXh5vv/02S5ceQsuW4XLIN90E99wDh/ZZlu+10ViuWSqrDC+SJKn0CAJ4550wsLz0EqxdG+52f9994Y6Ne+653VukZmRutxG/IOfsqG+//ZamTZuyfv163njjLYYPP5SHHgoXP5s1C048MTwvKTGBzHyCSkkv1yyVZYYXSZIUe5mZ4ZbyI0bAV1/BzjvD+edDly7wf/8HkUiBbpOakUmvCQvJzskNb5tPH0lBztlRP/zwA02bNmX16tU8+uj7XHJJfb74ImzOv+8+qFHjz3N7tqi/RR1Q8ss1S2Vd6ViGQ5IkVTzr14c73rdqBfvsA7fdBvXq/dnXMnw4HH98gYMLhEsf/zUMwJ99JIU5Z0csWbKEpk2bsmLFb7Rr9ymdOtVnzRpIS4PHHtsyuEAYlPq3a0i9xAQiQL3EBPq3a2i/i7QNjrxIkqTo+vjjcIRl7FhYuTLc3OS228I9WQ48sEi33lq/yF+PF+Scwvr5559p2rQpmZm7stde8xkxojodO8JDD217AbSURvUMK1IhGF4kSVLJ++WXcAPJkSPDDSWrVIGzzgqnhZ16atiMXwwK0kdS3L0my5cvp2nTZnz99TkEQR9WrapEaiq0bbtDt5O0DU4bkyRJJSM3N5wzde65YaP9NdeEDflDhoTTwp5/Hpo3L3BwSc3IpPGAmex/62QaD5hJakbmP87p2aI+CfFb3u/vfSQFOaegVq5cSZMmXfn88+Hk5PQlJaUSn35qcJFKiiMvkiSpeP3vf3/uyfLjj7DrrnDFFeESx0ceuUO3LGiT/aY/b2slsYKcUxC//JLFkUc+zY8/Pk+NGvEMGxbuk1mIFh1JhRQJgiBqD0tOTg7S09Oj9jxJkramJJfKrZDWrg2b70eOhLffhkqVoEWLcFpYmzZQtWqRbt94wMx8p3rVS0zg3VubFuneO+KTT1bTuPEX/PbbMRx99DImTtyNpKSolyGVS5FIZG4QBMn5vebIiySpwinJpXIrlCCA998Pm+9feCHcVPKgg+Dee+GSS8KVw4pJSTTZ74gggKFDf+faayuRm/svrroqg0cfbeRoixQlhhdJUoWzraVyDS8FsHRpuCfLyJHwxRdQvTp06BCOspx4YonMmyoNGzp+9x1ccUUuU6bsBLzFY4+t48orW0Xt+ZJs2JckVUCl5Vv8MiUnB1JT4cwzw6WNb7kFateGp58Om+9HjoQmTUqs4aM4m+wLa80a6N0bDj4kjylpOcD1HHTOdJKOP6LEny1pS468SJIqnNLwLX6Z8emn4bSw0aNh+fJw1bCePcM9WepHbyf44mqyL4zc3HDNgdtvDweb4qpPgQ1XULtVe3L2P96phlIMGF4kSRVOzxb1t+h5geh9i18mZGWFyxiPHAkffgjx8WHTfZcuYRN+5dh8fIjWho5BAK+/DrfeCp98Ascdl8vquM6szRxD7VbXUaPhqYBTDaVYcNqYJKnCSWlUj/7tGlIvMYEI4YpV/ds1rNgfQvPyYMYMuOiicHSle3dYtw4GD4bMTHj5ZWjdOmbBJVrefx9OPhnOOAN+/x1GjfqdqlVPZe2SsdQ+4wZqNDxti/OdaihFV/n+XyBJkrYiWt/il3rffhvOjRo5MuxIT0wMR1g6d4ajj64wm5Z88QXcdhu88grsvjs8/jice+5q2rZtxXtz5lDnjBup3uA//7jOqYZSdBleJEmqaLKzw0/pI0aEoy2RCJx2GvTvDykpkJAQ7oNz35vF1l9SWvfVWbIE+vQJfxQJCdC3L/ToARs3ZtGyZUvS09M56NzbWb/3sf+4NgLFMtWwtP5spNLI8CJJUkUQBPDRR+EIy3PPwapVsP/+cPfd0LEj7Lvv5lOLex+c0rivzsqVcN99MGQIbNwIV10VNubvthusWLGC5s2b8+mnn/Lyyy9z/Zz8Py4FFL3+0vizkUoze14kSSrPli2DBx+Ehg3huOPCKWJt2sDMmfDVV3DnnVsEF9j2Pjg7orjvVxS//RaOtOy/P9x/P5x9djhl7OGHw+CydOlSTj75ZD7//HNeffVV2rZtu9WpYfWKYcpYafrZSGWB4UWSpPJm40aYNAnatQt3ub/xRqhRA558MtyTZfRoOOUUqJT/x4Di3genNOyrs24dDBz452BTs2awcGH4ozjggPCcH3/8kf/85z98++23TJ48mZYtWwIlu8dMafjZSGWJ08YkSSovFi0Kp4WNGhVuTLLbbnDddWEDfoMGBb5Nce+DE8t9ddavh+HDoV+/8EfSsiX897/hWgR/9e2339K0aVNWrFhBWloajRs33vxaSe4x455DUuEYXiRJKstWr4YXXww7zt97D+LiwnV+O3eGVq3CPVoKqbj3wYnFvjobN4YZrm9f+P57OOmk8MfUpMk/z128eDFNmzZl7dq1zJgxg2OOOeYf55TU6nTuOSQVjuFFkqSyJghg9uwwsLz0Ujgn6tBDwyaOiy4K1/otguIeaSjJkYu/y8uD8ePhjjvgyy/h2GPh6afh1FPzX/X5s88+49RTTyU3N5c333yTI444othr2pZo/myk8iASBEHUHpacnBykp6dH7XmSJJUrP/4YDic880zYbF+zJpx3Xjgt7NhjK8yeLPkJAkhLC/dqyciAww4Lp4edeebWfyzz58+nWbNmxMfHM336dBoUYmqdpJITiUTmBkGQnN9rjrxIklSarV8Pr74a9rJMnRoOLZxyCtx1V9iQX61arCuMuffeg169YNYs2G+/sAn//PPDGXRb8+6779K6dWtq1qzJjBkzOPjgg6NWr6QdZ3iRJKk0mj8/nBY2diz88gvsvTf07h3uybJpeawKbuHCcG+W114LZ8oNGQLdukGVKtu+burUqZx11lnstddeTJs2jX322Sc6BUsqMsOLJEmlxcqVMG5cGFrmz4eqVcPRlc6doWnTbQ8lVCDffhv2tIwdG86cu/deuPZaqF59+9dOmDCB888/n0MPPZS0tDR2L2J/kKToMrxIkhRLubkwbVoYWF59FTZsCNfxfeyxcO5TrVqxrrDUWLMm7GMZPDjcoubmm8Nfu+5asOtHjRpFly5dOO6445g8eTK1/NlKZY7hRZKkWPjqqz/3ZMnMhNq14corw1GWww+PdXWlShCEyxzfeGP4o+rYMdy3pV4hFuR69NFHufbaaznttNN45ZVXqFGjRskVLKnEGF4kSYqWtWvDdXxHjAi7yytVgtNPh0ceCfdm2V6zRgX06adwzTXw5pvQqFEYYk44oeDXB0FA37596dOnDykpKTz33HPstNNOJVewpBJleClmqRmZrtUuSfpTEMCcOWFgeeGFcO7TIYdA//5wySWQlBTrCkul336DPn3CXFezJgwdGjbjF6btJy8vj+uvv55HH32Ujh078tRTT1G5sh99pLLM/wYXo9SMzC12yc3MyqbXhIUABhhJqmh++gmefTacGrZoUdhNfu654Z4sJ5wQlT1ZyuIXakEAY8ZAz56wbFkYWPr1gzp1CnefnJwcunTpwpgxY+jRowf3338/lSpVKpmiJUWN4aUYDUpbtDm4bJKdk8ugtEWl/v8sJEnFYMMGmDQpHGWZMiVsxm/SBG69Fdq3hyj2WZTFL9Tmz4err4Z33w333HztNTjmmMLfZ+3atXTo0IE33niDfv360atXLyIVeANPqTwxvBSjJVnZhTouSSonFi4MA8uYMbBiRTgV7OaboVOncIpYDJSlL9R+/TVc+njo0HDlsKeeCtct2JGBkhUrVnDGGWfw0UcfMWzYMLp161b8BUuKGcNLMUpKTCAzn6CSlJgQg2okSSXq11/huefCaWHp6RAfD23bhtPC/p+9+w6rsnwDOP49IghO3CKo4MiJimi5Z0EqKmmKqZmj0hxZqb+0pwn06wAAIABJREFUcqZpjkqzrEzUHLk3Kqa4NRdoiHsj7oGgbM77++PJlYiMwxmc+3Nd73XwcHjPA8I57/08z33fXl4m78liCRNqer368Q0bpvpw9usHY8dmvDr0pUuX8Pb25tKlS6xYsQJfX1/DDlgIYXKZ3vyp0+lsdDpdiE6nW2+IAVmyod4VcbB99s3KwdaGod4VTTQiIYQQBqXXq54sXbqAkxP076+2ik2bBlevwrJlqnqYGTSTfNHEmblMqB06BPXqwfvvQ8WKcPgw/PhjxgOX0NBQ6tevz40bN9i8ebMELkJkU4bIXBsEnDDAeSyer4czE9q74+zogA5wdnRgQnt3s1ueF0IIkU4XLsCoUeDmplZVNm1SmeSHD6tEjY8/Tn9GeRYz1wm127fhww9VTsulS6qmwa5dULNmxs+5a9cuGjVq9NzHQojsJ1PbxnQ6nQvQGhgPfGaQEVk4Xw9nCVaEECI7iImBlStVLsu2bao62BtvwKRJanuYmfcKefReZC7VxjQN5s5VjSajouDTT1U8mD9/5s67Zs0aOnfuTJkyZQgMDKRMmTIGGa8QwjxlNuflB+B/QD4DjEUIIYQwLU2DAwdUwLJ4sbrKLlsWvv5a9WQpXdrUI0wXc5lQu3JFrbZs3KiKr82cCVWrZv68s2bNom/fvtSpU4f169dTxMxWv4QQhpfh4EWn0/kANzVNO6zT6Zqm8rgPgQ8BSpvZi75en7FKJkIIIbKZGzdg/nyVPX78ODg4QMeOKvm+USN5s8iEBQtU+ePERNVwsn//zP84NU1j/PjxjBgxglatWrF06VLy5MljmAELIcxaZl4+GgBtdTrdRWAx0Fyn0y3474M0TftN07TamqbVLlq0aCaeznDi4qByZfj2W1OPRAghhMkkJsLateDrCy4uqitigQLw229w/TrMmwdNmkjgkkExMdC7N7z7Lri7wz//wMCBmf9xJiUl0a9fP0aMGEH37t1ZvXq1BC5CWJEMr7xomjYcGA7w78rLEE3TuhloXFnK3l69eO7cCcOHm3o0QgghjOr4cbXC8scfqoV78eIqAaNnTzWzlQ2sDokwaa7LqVOqJ2dYGHz1lcptyWmA5gzR0dF07tyZDRs2MGzYML755htpPimElbHaPi+NG8PChar5sRlUtBRCCJGV7t+HJUtU0PL33+pK2sdHbQt7803VoyWbWB0SwfCVoY8bVEZExjJ8ZSiAUQKYP/9U+S329irHxdvbMOe9cuUKPj4+HDt2jJkzZ9K3b1/DnFgIYVEMshauadp2TdN8DHEuY2nUCKKj4ehRU49ECCFEltDrVZWw7t1VT5Y+fVQC/pQpKoN81Spo0yZbBS6gqos9ClweiU1MZnLgqSx93rg4+Ogj1QKnRg0ICTFc4BIcHMxrr73G+fPnCQgIkMBFCCtm1SsvAEFBUKuWaccihBDCgC5fVvkqc+ao/iz586sAplcvqFNHlTzOxq5GxqbrfkM4d07VNwgJgf/9D8aNM1xMuG7dOt555x0KFSrEnj17cHd3N8yJhRAWyWqzEF1cVALhhg2mHokQQohMi4tTpY29vMDVFUaOVLcLFsC1a/DLL6orYjYPXABKOjqk6/7MWrFCTQJevKjqH3z7reECl+nTp+Pr60vlypXZv3+/BC5CCOsNXgBat1Zdfe/fN/VIhBBCpJumqQ73/furbWHvvKMyxUeOhPPn1dJ6166QO7epR2pUQ70r4mD7bDKng60NQ70rGvR5EhLgk09UYn6lSmrVpU0bw5w7KSmJgQMHMmjQINq1a8f27dtxcnIyzMnTaHVIBA0mBuE2LIAGE4NYHRJh1OcXQqTM6oOXpCTYvNnUIxFCCJFmt2/DtGlQsybUrg2zZ0OrVvDXX2qb2OjR4OZm6lGajK+HMxPau+Ps6IAOcHZ0YEJ7d4Mm61+8qHJHp02DQYPURKChGttHR0fTrl07ZsyYwZAhQ1i+fLnRSyE/KnoQERmLxpOiBxLACGF6VpvzAlC3LhQqBOvXq726wnKZuiyoECKLPZpp8vdXe5MSE1X+ys8/Q+fOULCgqUdoVnw9nLPsNXDdOnjvPVWtc/ly6NDBcOd+uqLYL7/8Qp8+fQx38nRIreiBvLcIYVpWHbzkzKkqZG7cKCWTLZmpy4IKIbLQ6dMq8X7ePJW7UqSIatfes6dKXBRGk5gIX34JkyeDhwcsWwblyhnu/MHBwbRp04bo6GgCAgLwNlSpsgwwRdEDIUTaWO22sUd7WTdHh3DrFkxZcNPUQxIZZKqyoEKILBIdrVZYGjWCihVh0iTw9ISVKyEiAr77TgIXI7tyBZo2VYHLRx/B3r2GDVzWrVtHo0aNyJkzJ3v27Ek1cDFGLoqxix4IIdLOKoOXp/ey2rvdAp3G5N+jZC+rhZIZMiGyAU1TiRO9eqnk+9694eZNVbrqyhW1V+mtt8DOztQjtTqbNqmVln/+gUWL1E49e3vDnX/69Om0a9eOKlWqvLSimLFyUYxV9EAIkX5WGbw8PVNv45BILue7RJ0uKjP1FkpmyISwYBERMGGCWmFp3FjtRercGfbsgZMnVdMQI1eZEopeDyNGqFoITk5w6JAq6GYoT1cU8/X1ZceOHZQoUSLVrzHWSrsxih4IITLGKnNe/jsj71DuJpE7KnM5XG+iEYnMGOpd8ZmcF5AZMiHMWkKCWknx91fT+nq9Cly+/FLV3TVyZSnxvLg41ddz2TKVXjRjhmErTkdHR9O5c2c2bNjAkCFD+Pbbb8mR4+XzqcZcac/KogdCiIyzyuClpKMDEU+90D0KXnJdczHhqERGPXpzkWpjQpi5o0dV8v2CBXDnDjg7w/Dh0KMHlC9v6tGJf0VGgq8v7NgBU6bA4MGGPX9mKor99/376fuFENbBKoOX/87U2xZ5QM4CsRS6a6Ai9cLoZIZMCDN19y78+adaZQkOVjkrvr5qOv+NN6TMo5m5cgVatlS9PhcuhC5dDHv+w4cP07Zt2wxXFJOVdiGEVQYv/52pdy7oQBWvZHYG5CUuzrCJiEIIYXWSk2HrVhWwrF4N8fEq4/vHH1XSROHCph6hSEFYmGofcP++aiHQooVhz79kyRJ69uxJ0aJF2bt3L9WqVUv3OWSlXQih0zTNaE9Wu3Zt7dChQ0Z7vvTYuFElJW7cqF68hZDGl0Kk07lzMHeu6skSHq66AHftqlZZPDxMPTqRil27oG1bNXm3cSPUrGm4c+v1ekaOHMn48eNp2LAhK1asoFixYoZ7AiFEtqPT6Q5rmlY7pc9Z5cpLSpo2BQcHCAiw3ODFEBfbcsGuSONLIdIoJgZWrFCrLNu3g04H3t4qWaJdO8iVy9QjFC+xcqXaHubqquonuLoa7tz379+ne/furF27lt69e/Pzzz9jZ4Jy1/LeJkT2YZWlklPi4ACvvw7r16t2A5bGELXvjVU/3xJI40shUqFp8Pff8OGHUKKEKksVHg7jxsGlS2rqvlMnCVwswE8/qQJvHh6qOrUhA5ewsDDq1KnDhg0bmDZtGrNmzTJZ4CLvbUJkHxK8PKV1a7h4EU6cMPVI0s8QF9tywf6ENL4UIgXXr6sW61WrQr16KqO7fXtVlurMGVXquFQpU49SpIGmwRdfwIAB0KaNSlEyZCrS0qVLee2114iKiiIoKIiPP/4YnU5nuCdIB3lvEyJ7sdptY3q9/rma8q1aqdv166FKlax77qxYvjbExbZcsD8h5TiF+FdiImzYoLaFBQSoZPz69eH339XqSr58ph6hSKfERHj/ffjjD7V49tNPkNNAVwNJSUkMHz6cKVOmUK9ePZYvX07JkiUNc/IMkvc2IbIXq1x5SUhIoFmzZsyYMYOnCxaUKgU1asDatVn33Fm1fG2ILvPSqf6Jod4VcbB9toSruZfjXB0SQYOJQbgNC6DBxCDZEiEyJywMhgwBFxdV2vjAAfXvkyfV/qLevSVwsUDR0Wql5Y8/YOxY+OUXwwUuN2/exMvLiylTptC/f3+2b99u8sAF5L1NiOzGKoOX+Ph4ChQowMCBA+nRowexsU9mX/z81Pvy6dNZ89xZtXxtiIttS7xgzyq+Hs5MaO+Os6MDOsDZ0YEJ7d3NNsFT9nRbPrMIPu/fh19/hbp1oVo1mDYNGjZUy9Hh4TBxIlS0vteD7OLGDWjWDLZsUQtnI0ao+gqGsH//fjw9Pdm3bx/z5s1jxowZJslvSYm8twmRvVhtqWS9Xs/XX3/NmDFjqFmzJitWrMDNzY1r19QKzODB8O23hn9et2EBpPQT1wEXJrbO1Lml2pj1ajAxKMVtbs6ODuwZ1twEIxLp8d/qdqAurowSMOv1qkqYv7+qGhYXB+7uqrxxt25QtGjWPr8wijNnVCXNa9dg2TKV42kos2bNYsCAAZQsWZKVK1fiYYZlseW9TQjLklqpZKsNXh4JCAigW7du5MiRg0WLFuHt7Y2vL+zbpyYaDT1x9KKLTEcHW46M8jLskwmjMIc3xawMikXWM0nweemS6skyd66qVFKgwJOeLJ6ehpuSFyZ34MCTYGX9enjtNcOcNy4ujgEDBjB79my8vb1ZuHAhhS2sAak5vH4LIZ6XWvBildvGnta6dWsOHTqEs7MzLVu2ZPz48fTurefmTfUib2hDvStim+P5i4KHCUmyxccCmct2LdnTbdmMllAcGwuLFsEbb4CbG4wZA+XLq/uuXVOZ27VrS+CSjWzZoraK5cuntkQbKnC5fPkyjRo1Yvbs2Xz55ZcEBARYZOBiDq/fQoj0sfrgBaBcuXLs27ePd955h6+++orffutAyZJ6Zs0y/HP5ejiT1/757MjEZE3KNhqBofMKzKUEp+zptmxZGnxqGhw6BP36gZOTWl05exZGj4YLF+Cvv+Cdd1SzK5GtrFunVlzKl4e9e+GVVwxz3q1bt+Lp6cnp06dZvXo148aNw8bG5uVfaGbM5fVbCJE+Erz8K0+ePCxYsIAffviBTZvWExv7E4GBGpcuGf65ImMSU7xfyjZmrayYZTOXEpyWVmBAPCtLgs9bt+D776F6dahTB+bMAR8f1dDj3DkYORLKlMnkyIW5WrtWteCpUQO2bVO9RDNL0zQmTZqEl5cXxYoV4+DBg7Rr1y7zJzYRc3n9FkKkj9X2eUmJTqdj0KBB1KlTh7fe+gRN60efPifYtKmaQZ9HeoiYRmqzbBm9yDen/0tfD2cJVizUo/+3TO+9T0qCTZtU8v26derfr74KM2dC587g6JgFoxfmZsMGePttqFULNm9W6UyZFR0dTc+ePVmxYgUdO3bE39+fvHnzZv7EJmROr99CiLSTlZenPNpS1HXtPUp/8DmOhTcTGFiOzp0HExMTY7DnkS0+ppEVs2zyfykMxdfDmT3DmnNhYmv2DGuevsDl1CkYNkyVSmzTBnbvhkGD4Ngx2L8f+vaVwMVKbN6sVlzc3SEw0DCBy8mTJ3nttddYvXo1U6ZMYcmSJRYfuIC8fgthqWTl5V//LVV6K8megn65uP+LLUuWlOf48bosX76cVwywadhgs6wiXbJilk3+L4XJREfD0qVqlWXvXrCxUQkOPXuqW1tbU49QGFlQELRrB5UqqVQmQ8Srq1at4r333sPe3p6//vqLZs2aZf6kZkJev4WwTFZfKvmRF5Uqjd9Rg1sHS5Iv36skJZ1i9uzZdOrUyQQjFJll0l4aQhiCpsGuXSp/ZelSiIlRV6q9esG77xomsUFYpJ07oWVLKFtW5bgUKZK588XHx/P5558zbdo0Xn31VZYvX06pUqUMM1ghhHiJ1Eoly8rLv160dShnrZPYHnGhWbMdXLv2On5+fmzfvp3vvvsOe3t7I49SZIbMsgmLdeUKzJunerKcPavq3nbpooKWunWltLGV27MHWrWC0qVVaeTMBi6nT5+mc+fOhISEMHDgQCZPnkyuXLkMM1ghhMgkCV7+9aItRaVL5eCdgTBlSh6Cg3eyYMFwpk6dyp49e1iyZAmVKlUywWhFRllyUrs0U7My8fGwZo1aZdm8GfR6aNpUVQnr0AFy5zb1CIUZ2L9frbg4O6ttY8WLZ+588+fP56OPPiJXrlysWbOGtm3bGmagQghhIJKw/6/UEvc+/xzy5oWxY22ZMmUKAQEBXL16FU9PT+bOnYsxt94J6yTN1KzIkSPw8cdQsiT4+UFYGHz5pSpvvG2b2h4mgYtAte/x9oZixVTg4uSU8XNFR0fTvXt3unfvjqenJ0ePHpXARQhhliR4+VdqfTIKF4YhQ2DVKjh4EFq1asWRI0d49dVX6dmzJ927dyc6OtrU34LIxqSZWjZ35w78+CN4eKjj11/hjTdUuagLF2DsWJXMIMS/jhwBLy8oWFAFLs6ZWIQNDg7G09OThQsXMnr0aIKCgnBxcTHcYIUQwoAkYT+NoqPBpXQyuiL3KdhhHyUdHfjs9fKEbZjLmDFjKFeuHEuWLMHDw8PUQxXZkNuwAFL6S9UBFya2NvZwhCEkJ6uSUHPmwOrVkJCgGnP07KnyWQoVMvUIhZkKDYVmzdQC3M6d4OqasfNomsb06dMZOnQoxYoVY9GiRTRu3NigYxVCiIxILWFfVl7SaOvZCOxrn+H+2UI8OFmCiMhYvlpznOptehMUFERMTAx169blxx9/lG1kwuBeVM5ZmqlZoLNn4auv1BVny5aq433fvhASAocPw4ABEriIFzp+HFq0gFy51C7CjAYut2/fpm3btnzyySe8+eabHD16VAIXIYRFkOAljSYHnsK+xgXsnO5xe31N4i4Vfrxtp0mTJhw5cgQvLy8+/vhj2rdvz927d009ZJGNSDM1C/fwoaoW1qQJVKgAEyaoLoLLlkFEBEybBjVrmnqUwsydOgXNm6uWPtu2QblyGTvP9u3bqVGjBps3b2b69OmsWbOGwoULG3awQgiRRSR4SaOrkbHocuop1vEgto4x3FzpSfz1/I9LLBcpUoS1a9fy/fffExAQQI0aNdi2bZuJRy2yi9RysoSZ0jTVPPL991X/lR494OpV+OYbuHwZNmyAt99WU+giQ1aHRNBgYhBuwwJoMDEoWxewOHtWBS6apnJcMtIvOSkpiZEjR9K8eXPy5s3L/v37GThwIDoptS2EsCCS85JGTzexTIrOxfUF9dESbajxUQjBU+s+89jDhw/TtWtXTp8+zZAhQ/j666+lRr4Q1uLaNfjjD5XLcuoU5MkDnTqpniwNGkhPFgOxpqazFy6oRbuYGNi+HapVS/85wsPD6dKlC7t376ZHjx78+OOP5M2b1+BjFUIIQ5CcFwN4ettOznzxFPfbj04H4YtqEx7+7GM9PT05fPgwffr0YfLkydStW5fjx4+bYNRCCKNISICVK6FNGyhVCoYNg6JFwd8frl9Xtw0bSuBiQNZSge/yZZWc/+CBakCZkcBl9erV1KhRgyNHjrBgwQLmzJkjgYsQwmJJ8JJG/92241pWY9Lv90mIyYmXF9y+/ezj8+TJw8yZM1m3bh0RERF4enpKMr8Q2U1oKHz2mapT26GDSrgfOlStuOzapSqHyUVilriaQlPh1O63RFeuqMAlMlIVpktvWtTDhw/p27cvb731FmXLliU4OJiuXbtmzWCFEMJIcpp6AJYkpe7sniVVk7BWrVTRoHz5nv0aHx8fQkND6dWrFx9//DEbNmxgzpw5lChRwogjF0IYTGQk/PmnWk05dAhsbaFtW7UtzMsLcsrLqjGUdHR4vJX3v/dnB1evqhyXW7fUiounZ/q+fteuXfTu3ZuzZ8/yv//9j7Fjx8r2ZSFEtiArL5nUpAksXQrBwdC+PcTHP/+Y4sWLs379en766Se2b9+Ou7s7a9asMf5ghRAZo9erK8guXVTyfb9+aqvYDz+oq8zly9UMhgQuRpOdK/DduKHKIV+7Bps2wauvpv1ro6Oj6d+/P40bNyYxMZGtW7fy7bffSuAihMg2JHgxgLZtYfZsdW3TrZvqPfdfOp2Ofv36ERwcTKlSpfD19eWDDz4gOjra+AMWQqTNhQswahS4uamO9xs3quphhw+rFueDBkGRIqYepVXKrhX4bt1SgcvlyxAQAPXrp/1rAwMDqVatGjNnzmTQoEEcO3aMZs2aZd1ghRDCBKTamAF99x0MHgwffgi//PLi3NyEhARGjRrFpEmTcHFxYdasWXh5eRl3sEKIlMXEqOT7OXNUTVqdTgUuvXpBu3Zgb2/qEYps6s4dtVXs9GkVuDRvnravu3v3Lp999hnz5s2jUqVKzJ49m/rpiXqEEMLMSLUxI/nsM/jiC/jtN3Wd898qZI/Y2dkxYcIEdu/eTe7cufH29ub9998nMjLSuAMWQiiaBgcOqE73Tk7w7rtq1WXsWLh4EQIDwc9PAheRZe7dUylTp07B2rVpD1xWrlxJlSpVWLBgAV988QUhISESuAghsjUJXgxs3Dj4/HNYsEB1P/7wQzh3LuXH1qtXj5CQEIYNG8acOXOoWrUq69evN+6AhbBmN27A1Kmq/uxrr6n+LO3aqfblZ8/CiBFQurSpRymyufv3VeGXY8dg1Sq10PcyN27coGPHjnTo0AEnJycOHjzI+PHjsZcAWwiRzUnwYmA6HUycqK57PvhAXQu98oqayE2p1Yu9vT0TJkxg//79FC5cmDZt2tCtWzfu3Llj/MELYQ0SE9XUtq8vuLjAkCGQPz/8+uuTBpNNm0IOeXkUWS86Glq2hJAQVfehZcvUH69pGvPnz6dKlSqsXbuWb775hgMHDuDh4WGcAQshhInJu3MWKVMGfvpJ7Tz59FO1hb5aNejYUeX5/lft2rU5dOgQo0aNYsmSJVSpUoUVK1YYf+BCZFcnTqgeLKVKqdWVv/9Wf5zHj8O+fWqZtEABU49SWJGHD6F1a7VjcckS1eM0NeHh4bRu3Zru3btTqVIljh49yvDhw7G1tTXOgIUQwgxI8JLFnJxgyhS4dEnlw2zeDB4e4OOjEjJjn2pTYGdnx+jRozl06BAuLi68/fbbdOzYkRs3bpjuGxDCkkVFwaxZUK8eVKmiShvXqwdr1qiktEmToHJlU49SWKGYGPU+sGcPLFqkSu2/iF6v55dffqFq1ars2LGDadOmsXPnTipVqmS8AQshhJmQamNGFhmpVmS+/15VlrGzUzX8mzRRR716qiF3UlISU6ZMYdSoUeTLl4/p06fzzjvvoHtRCTMhhKLXw86dqonk8uVqhqBKFVVFo1s3KF7c1CMUVi4uTq2ybN0K8+dDak3vz5w5wwcffMCOHTto0aIFs2bNws3NzXiDFUIIE0it2pgELyYSH69ygoOCYMcO1TYiOVn1uPP0fBLMFC16io8/7sHff/9NmzZtmDlzJs7OT/oYrA6JYHLgKa5GxlLS0YGh3hUtvs+BEBkSHg7z5qkSx+fPqzyWzp2hd2+oU+fFtcvNjPxNZ2/x8SrdKjBQ/aq+917Kj0tOTub7779nxIgR5MqVi6lTp9KrVy+ZwBJCWAUJXixAdDTs3asCmR074OBBlVecIwd4eGjkzRvMvn0Tsbc/wPffj6Jnz56sOXKV4StDiU180hXTwdYmWzRqEyJN4uLUFjB/f/jrL1XyuHlztcry1luQO7epR5guq0Mi5G86G0tIgA4dYP16tZvx/fdTftyxY8fo1asXBw8epG3btsycOZOSJUsad7BCCGFCErxYoJgYlUP8KJjZv1/N2IEeCKV06QvYeBQmsXQcNrkTnvlaZ0cH9gxLY5MAISyNpqnSTP7+Klng3j1VzrhHD3VY8JaaBhODiIiMfe5++Zu2fImJqlXQqlXw88/w0UfPPyYhIYEJEyYwfvx4ChQowIwZM+jUqZOstgghrE5qwUtOYw9GpE3u3NCihTpATTAfOADbt8OiRYU4daoCXFazyraFo3EoewuHCjfI5XyPqylc/Ahh8W7fhoUL1V6bo0chVy6V5dyrl1ptyQaljV/0tyt/05YtKUmlW61aBdOnpxy4HDx4kN69exMaGkqXLl344YcfKFq0qPEHK4QQZk6CFwthbw+NG0PjxjkYObIUp09fpFbzsTyMKE7Sg7ZEHX6VqINlyWGfQHHP65w7p5pkCmHRkpJUib45c9T2sMRElRQ2YwZ06QIFC5p6hAZV0tEhxZWXko4OJhiNMITkZLUguHSpqjw5cOCzn4+NjWXUqFFMnToVJycn1q5dS5uX1UwWQggrZvlTlVbqlVdcmb92LCV84oA3gGLkrjSN3K63uLm/FBUqQNu2T9IAhDC01SERNJgYhNuwABpMDGJ1SIThTn7mjKotXqaMaoSxfTv0769WXA4dUh9ns8AFYKh3RRxsbZ65z8HWhqHeFU00IpEZer3Ka1m4EL75BgYPfvbzO3fupHr16kyePJnevXsTFhYmgUsaZenrjxDCrEnwYsHequXCzLFD8Bw8lzwVqxFz8hMKxDVhwfzdfPml6sHn5QVVq6o91g8emHrEIrt4lFgeERmLBkRExjJ8ZWjmLiAePFArLI0bwyuvwLffqqZIK1ZARISqL169usG+B3Pk6+HMhPbuODs6oEPlukiyvmXS66FvX5g7F0aPhuHDn3wuOjqa/v3706RJE5KTk9m6dSu//fYbBaRJappkyeuPEMJiSMJ+NhIYGEi/fv04f/48HTp0YPz4qezfX4bp01Up5gIFVHpA//6ypUxkjsESyzVNdembM0e1GH/4UAUuvXrBu+/CfyosSRlhYQk0TW0P++kntYA4btyTSt2bNm3iww8/5MqVKwwaNIhx48aRJ08e0w7YwkhhCyGyv9QS9mXlJRvx9vYmLCyMcePGsWHDBjw8KnP58jh27Ypj715o2RJ+/BEqVFAN0mRLmcioTCeWX70KEydCxYrQqJFKCPDzg1274ORJ+PzzFAMXmW0V5k7T4LPPVOAyZMiTwOXOnTv06NGDli1bkjdvXvbs2cP3338vgUsGSGELIaybBC/ZjL29PV9++SUnT57Ex8eHESNGUK1aVW7fXseiRRqXLsFXX6ksT1dlAAAgAElEQVTSy15eqvG4bCkT6fWiBPJUE8sTEtQWsNatoVQptY/GyUmtuly7BrNnQ8OGL2wmOTnw1DP9TwBiE5OZHHgqw9+HEIakaerX+ocf4OOPYdIkSE5OYsaMGVSoUIGFCxfy1VdfERISQr169Uw9XIuVodcfIUS2IcFLNlW6dGmWLl3Kli1bsLe3p23btrRu3ZqHD88wduyTZuR58qhtZM7Oapbw9m1Tj1xYgnQllv/zD3z6qfole/ttlXQ/bBicPq2aGPXoAXnzvvQ5ZbZVmLvRo1Wq1kcfqQBmy5a/qFGjBgMHDqRWrVqEhITw9ddfkytXLlMP1aJJYQshrJsEL9lcixYtOHLkCN999x27d++mWrVqDB8+nMTEB3TvDgcPwt690KqVyocuXx4mT1Z9ZYR4kZcmlt+7p5b0ateGGjXUx82awcaNcOkSjB+v9i+mg8y2CnM2bhyMHQu9e8OgQWdo164tXl5exMfHs3r1av766y+qVatm6mFmC1LYQgjrJgn7VuT69esMGzaMefPm4ezszNSpU5/p3hwWplINAgJUk/Lp08HHx8SDFpZDr4etW1Xn+1WrID4eatZUyfddukDhwpk6/aOcl6e3jjnY2shFizC5SZPUa2fnzgk4O3/F9Ok/kCtXLkaMGMGgQYNkpUUIIdIptYR9CV6s0L59+xgwYADBwcE0bdqU6dOn4+7u/vjzW7eqSjknTqjE/mnTVDAjRIouXFD1YOfOhcuXVf+Vbt2gZ09V6tiApNqYMDc//KB2Rdapc46LFxty+/YNevbsyfjx4ylRooSphyeEEBZJghfxnOTkZH7//Xe++OIL7t+/T//+/RkzZgyOjo6Ayq2ePl3t4U5OVuU+hw4Fe3vTjluYiZgYWLlSrbJs26aS7L281CpL27byiyKswk8/wYABUKDAFu7fb0mDBq8xbdo0PD09TT00IYSwaFIqWTzHxsaGPn36cPr0aT788ENmzJjBK6+8wi+//EJSUhJ2diqB/+RJdS06ciS4u6vrVGGlNE11Pu3TR1UJe/ddtdLy9dcqj2XTJujUSQIXYRUmTLjNgAEAa8iXrw+LFy9g165dErgIIUQWk+DFyhUuXJiff/6ZQ4cOUaVKFT766CNq1KjBhg0b0DQNFxfVO/BRT5jmzdW1a1SUqUcujOb6dVXFoWpVqFcPFiyAt95SlcLOnFG1t0uVMvUohTCKBw8e0LbtSr74ohA5cgQyYsQxTp0Kxc/P73H+oHhidUgEDSYG4TYsgAYTg6QvkxAi0yR4EQB4eHiwbds2Vq1aRUJCAq1bt+b1118nODgYgNdfh9BQtXXs99+hWjUIDDTxoEXWSUyENWugXTtwcYH//U/lssyapXqyzJ0LjRu/sCeLENmNXq9nwYIFlCr1OevW+VKiRBgnT1Zh7NgvyZ07t6mHZ5aksawQIitI8CIe0+l0+Pr6EhYWxvTp0zl69Cienp68++67XLp0CQcHVVVn717Ilw/efFOVBZVVmGwkLEztF3RxAV9fOHAABg9W1Rv27IH334f8+U09SiGMKigoiLp16/Luu2uIjJyGh0c05865U6GCrDimRhrLCiGyggQv4jl2dnYMHDiQc+fOMXz4cJYvX07FihUZOnQod+/e5bXXIDhYdZKeO1dVw92719SjFhl2/z78+ivUrauW1KZNgwYNYN061c3022+hUiVTj1IIozt8+DDe3t60aNGC8+erY2OzhIYNbdi5swCy2PJy0lhWCJEVJHgRL1SgQAG++eYbTp8+TefOnZk6dSrlypVj4sSJJCfH8M03sGuXemyjRiqpPzHRtGMWaaTXQ1CQSrp3coK+feHBA/juO4iIUJXEfHwgZ05Tj1QIozt9+jR+fn7Url2bw4cP063bOu7fn0Xt2jkICNCRN6+pR2gZpLGsECIrSPAiXqpUqVLMnTuXo0eP0rBhQ4YPH065cuWYOXMmdeokcuQIdO+uik41bKhyuIWZunxZtQEvVw5atFCrK++9p7aHhYaqhhXFipl6lEKYxNWrV+nbty9VqlQhICCAESNG8PXXl1m0yId69XRs3iy7JtNjqHdFHGxtnrnPwdaGod4VTTQiIUR2IMGLSDN3d3fWrVvH7t27KV++PP369aNixYosXvwbv/wSz7JlKnCpWVPldRuxhZBITWws/Pmn6sPi6gqjRqngZeFClXw/cybUqSPJ98Jq3bt3j2HDhlG+fHn8/f356KOPOHfuHE5OY+nXLzctWsDGjRK4pJevhzMT2rvj7OiADnB2dGBCe3dpLCuEyBRpUikyRNM0Nm7cyOjRozl48CDOzs4MGTKE1q0/pF+/3GzZogpVzZoFRYuaerRWSNNUYpK/PyxaBJGRUKaM6nr/3nsqiBHCykVFRfHjjz8yZcoU7t+/T9euXRkzZgxly5Zl6lRVu6JNG1i6VNoXCSGEMaXWpFKCF5EpmqaxZcsWxo8fz44dOyhSpAiDBn1KjhyfMmaMAwULwpw50LKlqUdqJW7fVn1Y/P3VNjB7e+jQQQUtzZpBDllsFaa1OiSCyYGnuBoZS0lHB4Z6VzT6THxUVBTTp0/nu+++4969e/j4+DB+/HiqV6+OpqktsKNGQceOaoHS1taowxNCCKsnwYswij179jB+/Hg2btxI/vz56dTpa/bs6ceJEzkZMECVWXaQPE3DS0pSTXfmzIG1a1XVhDp1oFcv6NwZHB1NPUIhgCd9P54un+tga2O0rUT3799n+vTpfP/999y7d482bdowcuRIatdW74+aBsOGqdeq7t1h9mypWSGEEKYgwYswqpCQEL755htWrFiBvb0jlSqtJCSkKZUrq1lMDw9TjzCbOHVKBSx//KFyV4oWVdXDevQAd3dTj06I5zSYGERECmVynR0d2DOseZY9b2Rk5OOgJTIykrZt2zJy5Eg8PT0fP0avh0GDYMYMVXzvp59koVIIIUwlteBFXpqFwXl4eLBs2TLCwsLo2LEN//zzOjlztuLSpXu89prGpEmQnPzy84gUREer6eAGDVTvlSlToHZtWLUKrlyBqVMlcBFmy9h9PyIjIxkzZgyurq6MGjWKpk2bEhwczJo1a54JXJKT4YMPVODy2Wfw888SuAghhLmSl2eRZSpXrsy8efM4c+YM779fhsTEKiQmruTzz6FevYdcvmzqEVoITYOdO1XeSokSqsv93btqb8uVK2qrmK8v2NmZeqRCpMpYfT9u377NqFGjcHV1ZfTo0TRv3pyQkBBWrVqFx3+WfhMT1YKlvz+MGKHmA6TwnhBCmC8JXl5gdUgEDSYG4TYsgAYTg1gdEmHqIVksNzc3Zs6cycWLh/n0073Y2fXh4EE95cs/ZPz486Yenvm6cgW++QZeeQWaNIEVK6BLF9i7F44fh6FDVTAjhIXI6r4fly9f5pNPPqFMmTKMHTuWFi1acOTIEVauXEnNmjWfe/yDB/DWW6qS+IQJqgWSBC5CCGHeJOclBaZOKs3ubt++zejRf/DLLw1ITn4NJ6cgfv/dnlat6pt6aKYXH69WUvz9YfNmtRG/aVO16tKhA+TJY+oRCpEpWVFt7Pjx40yaNImFCxcC0LVrVz7//HMqV678wq+5fh1at4YjR1R+S9++mRqCEEIIA5KE/XQyVVKptblz5z6dOx9ly5b6QATVq09h0iQfvLy80Fnb9OeRIypgWbhQbQlzcVGJ9z16qIaSQohnaJrG7t27mTp1KmvWrMHBwYEPPviAwYMHU7p06VS/9vhxaNUKbt2CJUvAxyf15zKH8s5CCGFNJGE/nYydVGqtChcuwF9/NWb79iSKFCnAP/9M4803g/H0rMeqVavQ6/WmHmLWuntXZQjXqqVKsP36K7zxhip7fPGiajYhgYsQz0hMTGTRokXUqVOHxo0bs2vXLkaMGMHly5eZNm3aSwOXHTtUvYu4OPVxWgKX4StDiYiMRQMiImMZvjJUthILIYSJSPCSAmMllQqlSRN7LlxwpFcvDRhOWNjvtG8/nOrVq7Nw4UKSkpJMPUTDSU5WwYmfHzg5wcCBapP9jz+qcseLF4OXF9jYvPxcQmQBc833u3fvHt9++y1ubm507dqV6OhoZs6cSXh4OGPHjqVIkSIvPceiRWp+wMkJ/v5bFep7mcmBp57ZQgwQm5jM5MBTGf1WhBBCZIIELynI6qRS8by8eWH2bBtWrYJ8+apiZ3eMu3f96NatGxUrVmT69OlERUWZepgZd+4cfPUVuLrCm2/Cli1qk31ICBw+DAMGQKFCph6lsHLmuMpw5swZBgwYgIuLC8OGDaNSpUqsX7+eEydO0LdvX3Lnzv3Sc2iaSsjv2hXq14c9e9SfYlrISrwQQpgXCV5S4OvhzIT27jg7OqBD5bpIsr5x+PpCaKiO5s1zcu3aCDw9r+HoWJFBgwbh7OzMwIEDOXXKQmY8Hz5UDSSbNoXy5dXVk7s7LFsGV6/CtGmQQgUkIVKTlSsj5rLKoGkaQUFB+Pr6UrFiRX777Tc6derEkSNH2LJlC61btyZHGhuxJCWpeYIvvlDF+gIDoWDBtI9FVuKFEMK8ZDhhX6fTlQL+AEoAeuA3TdOmpfY1lpKwL0xP01QFoMFDNPQ5E8lbezO2UdO5d2wHSYkJeHt7M3DgQN58801szGmLlabBvn2q8/2SJaqpZPnyqlpY9+4qEV+IDMrqSohuwwJI6R1BB1yY2DrT53+ZqKgoFixYwE8//cTx48cpUqQIffv2pV+/fjg5OaX7fA8eqB2aGzao4OXrr9PffFKqTwohhPGllrCfMxPnTQIGa5oWrNPp8gGHdTrdX5qmHc/EOYUAVBqIS4MInHucJ2KNO5E7fMj9iicuPf6mvu0+tq9eiI+PD66urvTp04devXpRrFgx0w342jWYP19VDDt1SpU07thRBS2NGknzCGEQqa2MGOJCuqSjQ4qVFrN6lSE0NJSff/6ZBQsW8ODBAzw9PZk7dy5+fn7Y29tn6JzXrqlk/KNHVS2MDz/M2Nge/Vyl2pgQQpgHg5VK1ul0a4AZmqb99aLHyMqLSI9HJas1vY6og27c3/0KOhs9bj5nOb6oPKtXr+KXX35h27Zt2Nra0qFDBz744AOaNm2a5i0lmZKQAAEBapVlwwaVjN+gAfTqpQKXfPmyfgzC4qWnDG9Wr4wYc5UhNjaWFStW8Ouvv7J7927s7e3p3Lkz/fr1o06dOpk698GDqi3S3btql2bLlgYatBBCCKPI8lLJOp3OFfAA9hvifELAk4RYXQ6NAq+dx6nnLmyLRnFuRWV8fGx59dVOBAUFceLECfr168emTZto0aIFFSpUYNy4cVy5ciVrBnbsGAwerLaAtW8Phw6pbvcnT8Lu3Sp4kcBFpEF6E+SzOv/CGPl+R48efZzD9u6773Ljxg2mTJnClStXmDNnTqYDl99/h4YN1fawXbskcBFCiOwm0ysvOp0uL7ADGK9p2soUPv8h8CFA6dKlPS9dupSp5xPWI6VmoZoGNifLcyuoIno9jBoFn3wCdnZqJnflypXMnj2bbdu2kSNHDry9venduzdt2rTBzs4u44OJjFRljP391bSurS20basCFS8vyJmZHZjCWqW3Ia6l5l/cu3ePRYsW4e/vT3BwMHZ2drz11lv06dOHpk2bGqQpbXy8qjw+a5b6k1y0CAoXNsDghRBCGF2WrbzodDpbYAWwMKXABUDTtN80TautaVrtokWLZubphJVJqWR1bjsbvhudl7AweP11+PxzVbBr+3ZwcHCga9euBAUFcfbsWYYPH84///zD22+/jYuLC4MHD+b48XSkZOn1sHWrqq/q5AQffaQ62/3wg6oWtny5atMtgYvIoPSW4bWkSoh6vZ6//vqLd955BycnJwYMGICmafz4449cu3aNxYsX06xZM4MELuHhKrVs1iyVmL9hgwQuQgiRXWWm2pgOmAfc1TTtk7R8jeS8iPR6WT7A+vVqtvXiRVUGdeJEKFXqydcnJycTGBjI7NmzWbt2LUlJSdStW5fu3bvTqVMnCqd0hXPxIsydq45Ll8DRUZ28Z0/w9JTke2Ew6V15MXeapnHs2DGWLFnC/PnzuXz5MgULFqRbt2707NkTDw8Pgz/ntm2qolhcnKpM7utr8KcQQghhZKmtvGQmeGkI7AJCUaWSAb7QNG3Di75GgheRFWJjVQuVb79VcUW/fjB8OPx3oe/WrVvMnz8ff39/wsLCyJkzJy1btqRr1660feMNHDZuVMn3W7eqE73+ugpY3noLMljxSIjUWOo2sP86deoUS5YsYcmSJRw/fpwcOXLwxhtv0KtXL9q2bZvhimGpSUiAMWPUhEXFirBqlboVQghh+bIkeMkICV6EIbxoNebSJRg9Ws2+5s4Nn32m8urz53/26zVN459//mHB/Pn8OX8+ETdvkg9oD3QrUYJmffpg06sXlC5tgu9OWJv0VBszJxcuXHgcsBw5cgSdTkejRo3o3LkzHTp0yNLS5cePQ7duEBKi0s5++EFqZAghRHYiwYvINtIyU33iBIwYAStWqH3vw4er1RiHRwWZbt6EBQvA35/ksDB22tmxoFQpll+/TtTDhxQrVoy3334bPz8/GjRoYF5NMIXZMscgxNBjunLlCsuWLWPx4sUcOHAAgLp16+Ln50fHjh1xds7a71evhxkzVK5b3rwqx0W2iQkhRPYjwYvINtKTI3DoEHz5JWzeDM7OGiPb/UPPiHHYBqyGpCR47TU1bevnBwUKEBcXR0BAAEuWLGH9+vXExsbi5OREhw4d6NChA40aNZJARqTIHLd/GWpMN27cYPny5SxZsoRdu3YBUKtWLfz8/OjUqROurq6GHnqKrlyBHj3Urk4fH1USuXhxozy1EEIII5PgRWQb6W7Sd/Ik28fs4IsVtdiXWIfyNucZ672XThNrYeNe5YXP8+DBg8eBzMaNG4mLi6NIkSL4+PjQrl07vLy8yJ07t8G+L2HZzDHxPjNjunPnDqtWrWLx4sVs27YNvV5P1apV6dy5M35+flSoUCGrhp2iP/9Uq6eJifD99/D++1I3QwghsrPUghep8foC5rgFxJTM5edR0tEhxQuyZ5r0RUXB0qWqJ8u+fTS1sWFPax/WVxvGl2tfo8uGsgwPUxdDvXunXFI1b968+Pn54efnx4MHD9i4cSNr1qxh1apVzJ07F3t7e7y8vGjXrh1t2rRByoBbLkP8bqe35LExpGdMmqZx4sQJ1q1bx/r169m7dy96vZ4KFSrwxRdf4OfnR7Vq1bJ6yM+5d0/9nS5eDHXrwvz5UL680YchhBDCjMjKSwrMcQuIKZnTz+OFY3mrGr7R51TAsnw5xMRA5cpqW1i3blCiBKD2zK9apfbNb9+uioi98w4MGAC1ar38+RMTE9m5cydr1qxh9erVhIeHo9PpaNCgAe3ataNVq1ZUrlzZIL0rRNYz1O+2Ja68JCQksGPHDtavX8+6deu4cOECAB4eHrRp0wZfX19q1qxpst/ldetUa6UbN1Qhjs8/t9yWSuYy+SOEEJZCto2lkzleiJiSuf08nr4QqEk046ODqbJpBZw/r0oOvfOOClpefTXVvSXHjsFPP6nqZDExUK8e9O8P7ds/ldyfCk3TOHLkyONA5ujRowCUKVOGli1b0qpVK5o3b06ePHkM9a0LAzPU77Y5BfipjSlnXCStCt7kaugeNm/eTHR0NPb29rz++uv4+Pjg4+OT5Un3LxMeDp98AitXQtWqMG+eaq9kqczxd0MIIcydBC/plO68imzO7H4ecXGwZo3qybJ5M2gaNGumerJ06KDqJKdDZKS6QPrpJzhzBgoUUK1dOneG5s3B1jZt5wkPD2fjxo1s2LCBLVu28PDhQ+zs7KhXrx7NmzenefPmvPrqq9jZ2WXgmxZZwZC/2+Y4u/7n7lN8PXsVEccPknQ5hJjranWlZMmS+Pj40KZNG5o3b24W+VsxMTBliurbAjBypCp3bul/LuY2+SOEEJZAgpd0kjebZ5nNzyMkRG0LW7hQbYYvVQree08FLWXLZvr0er3aSvbHH2prWVSUyodp21YdzZs/3zPmReLj49m9ezeBgYEEBQURHByMpmnkyZOHRo0aPQ5matasKRXMTMhsfrcN5OHDh+zZs4ft27ezbds2Dh48SHJyMnZ2djRs2BBvb2+8vb2pXr262Wxt1DRYtgyGDoXLl6FjR5g0CYxUxCzLmd3kjxBCWAAJXtJJlvmfZdKfx507Kljx94ejRyFXLrUs0quXiiay6MI/Lg4CA1Xef0AA3L8POXJAzZrQqNGTI619+O7evcuOHTvYunUrQUFBnDhxAoCCBQvStGnTx8GMueXLxMSonIPr19XtzZvqv+TevSdHVJSqPP3oSE7O+L9tbMDRUR0FC6rj0cdP31eokIpdy5RR/wc5cmTs+7P0v/WYmBj27dvHtm3b2LZtGwcOHCApKYmcOXNSp04dmjVrRtOmTalfv75Zbl/csweGDYPdu9Xf1rRp0LixqUdlWNktQBZCCGOQ4CUDzHELiCkZ9eeRnKy2g82Zo7aHJSSoTe+9eql8loIFs+Z5XyAxUV1cbd8Ou3bBvn0quAF45RV1sdWoEdSvD25u6gL8ZT+va9euERQURFBQEFu3buXSpUsAFCpUiHr16lGvXj3q169PnTp1yJs3r0G/n9hYFYg8HZQ8/fHTtw8epHyOXLlUAFGwoFqNsrNT33fOnE+Op/+d1s8lJaltfPfuPbl9+khKSnksjwKZ0qWfvXVzU7epBTeW9Ld+584d9u/fz969e9m5cyf79+8nISEBGxsbateu/ThYadCggcF/bwzp8GEYM0Yl5ZcooT7u3TvL5iJMytIDZCGEMAUJXoRlOHtWBSzz5kFEhNqz9e67altY9eqmHt1jCQnq4mvXLnXs3q0utEFVLyvukshd29vkKPiAnAUfYpM7AYe8yXzezg2/RiUoUODZizRN07hw4QLbtm1j79697Nu37/HKjI2NDdWrV6d+/frUr1+fevXq4erq+szqTFKSWhm6exdu334SjLzoiIpK+fsqVEg1/StR4sW3xYqpx6WloIGhaZpaCbp3T32f4eFqm9GlS+p49PG1a89+Xe7cqvBclSrqqFpV3bq6mvfFcmJiIqGhofz999+PjzNnzgDq96JWrVo0bdqUZs2a0bBhQ/Lly2fiEadO02DTJpg8GbZtU7lln38OH38MZrgoZFCWFCALIYQ5kOBFmK8HD1RpY39/FQnkyAEtW6qApU0bi8jW1etV5bIDB+DUKZi9/jbRNxxIiswN2vNbwHQ6tQWqUKFnjwIF1OeTkuDhw3iuX7/NjRt3uH37HnfuRJGcrAF25MxZiFy5iqHTFSQxMQ/x8S+uH1uwoAo8nj5eFJRYwI86TeLjVTf2y5dVPHz8uDrCwlRM/IiDA1Sq9GxA4+GhVnGMvXMvKSmJkydPEhwczOHDhzl06BAhISHExqrtRsWLF3+8Ile3bl08PT3NchtYShISYNEilYwfFgbOzqqa2AcfPPmdF0IIIZ4mwYswL5oGe/eqgGXpUhXAVKigtoV17w4lS5p6hJnyKEFXS8pB0n0H9HG2JMfZocXa8tUbNbl7l+eOR9ukdLpnt1c92ValkZgYS2zsAxITb/Pw4TWioi6jafeASHLnTqRMmfxUqlQEd/fi1K5digYNKlCokPluHTKF+/fhxAl1Ef10UBMe/uQxRYqonj+enuq2Vi21/cwQAU1ycjLnzp0jLCzsmePUqVMkJCQAkDt3bjw8PKhTpw5169albt26lC5d2qxyodIiMhJ+/RWmT4erV8HdXSXl+/llfaAsKx1CCGHZJHgRqTLaG/3Vq6pFtr8/nD6t9or4+amgpX594093ZxFjJejGx8cTGhrK4cOHOXz4MEeOHCE0NJS4Rwk5gKurK1WrVn3mqFChAvnTWjbNSkRFqSAmJERtCQwOVqtpj3JsHB2fBDKPgpry5V+cS5OcnMz58+c5fvz4M0HKyZMniY+Pf/y4MmXKPP5/qVGjBrVq1eKVV16x2Ap0Dx7A1q2qyMWff6p/v/66ClreeMM4f+KSYyKEEJZPghfxQhl9o09zwJOQAOvXq4Bl40a1x6pRI7UtrGNHMOOk4owy5cXTo4vmY8eOvXBmH1RhADc3t+cOV1dXXF1dsbe3z9JxWoL4eAgNVYFMcLAKav75R/1KA+TNq1Gx4kNcXG5SsOAFbG1DiY4+xMmTKkh5OogsXbr0c0Fk5cqVzTqpPi00Tc1DbNigjp071c8nXz5o1w4GD1ZVxIxJqnsJIYTlk+BFvFBG3ujTdHEeGqoClgULVHZ1yZKqJ0uPHqpEVzaX3tWsrF79SkpK4uzZs4SFhXHu3DkuXLjw+Lh48eIzgQ2Ak5NTisFNmTJlcHJywsEUGftGFBMTQ3h4+OPj8uXLhIeHc+nSVc6dy8XVq07Ex1cBagE1AdXkUaeLIX/+y5QuHYm7OzRsmJ9WrUpRpox5J9OnR2ws7NihVlc2bIDz59X9VapAq1bqaNDAdDlU0ldFCCEsnwQv4oUy8kb/ooCnUq4kNhWPUEHL4cOqNX27dmpbmJeXeZd2MiFTb3PR6/Vcu3btcSDzdGBz4cIFwsPD0ev1z3xN/vz5KV68OCVKlKBo0aIUKFCAfPnykT9//se3T3/83/vs7e2NlsMRHx/PvXv3XnrcuXOHK1euEB4ezp07d547T/HixSldujSlSpV6fJQuXRonp1IkJLgRHl6UI0dy8M8/qiXR06dwcVEF854+XnlF/YlYgosXn6yuBAWpAMbBAVq0UMFKy5bm01RSVl6EEMLypRa8vLhMkbAKJR0dUnyjL+n44pn1q089XqfpaXDxKB1Dt/Dm6b2QnKiuzKZNgy5dVPazSNXkwFPPBC4AsYnJTA48ZZTgJUeOHDg7O+Ps7EzDhg2f+3xiYiLh4eFcvHiRS5cucf36da5fv86NGze4fv06J0+eJCoqiujoaGHCMlIAABGzSURBVKKiokjLhEjOnDlTDGwcHBzQ6XQpHsAzH8fHxxMXF0dcXNwzHz9938OHDx9X7HqRvHnzUrBgQQoVKoSLiwt169Z9JjgpVaoUzs7O5MqV66Xf13vvqVtNU31y/vnn2eOvv1TfIFArE1WqPAlmKldWdStcXU0f1MTGqn5GjwKWfyt3U66cqhLWqhU0aaJKg5ubod4VU5wMGOpd0YSjEkIIYSgSvFi5jLzRl3R0QHfxAh1Dt9Lh2BZcom4RaZ+Xda+25u0ZI1S92WySfG8MV1MIHlO739hsbW0pW7YsZcuWfeljNU0jJiaGqKioZwKa/96mdN+dO3eIjY1F07Tnjkfnfvrf9vb22NvbkytXLuzt7XF0dHx836PDwcGBggULpng4Ojri6OiIbRZECjodODmpw9v7yf0JCaqc9tMBzZYt8McfTx6TM6dqsunmpsoKOzurXZePbkuWVOWtMzPsxERVYe3CBbWqcuHCk+PixSe9cuzsVJDy4YcqYMnqHZ+G2D756PFSbUwIIbIn2TYm0n7BEBMDK1dya9pMih7aix4du11rssz9dXZWbciYTp5ygZABss1F3L6tgprTp1VvmvPnVSBx9aoKJB5VPXta7twqgLGze/Y2pfsAoqPVERUFN2+q2hmP2Nio/jZubupwdYUaNaB5c+PV1DD19kkhhBDmQ3JeRMZpmuq+6O8PixerK5+yZTn+Zge+zFeLI+STmc1Mkos2kRq9Hm7dUg02r159EtBER6sVlIQEdfv0x/+9T9Mgf3515MunVm4eBSlubionJ6eJ1+EliBdCCPGI5LyI9LtxQ1UK8/dXnfwcHODtt6F3b2jUiCo5crDK1GPMJmSbi0hNjhxQvLg6atUy9WiyjrlvnxRCCGEeJHgRTyQmql4s/v6qDmpSEtSrB7NmQadOatpWZAlfD2cJVoRVy0jxECGEENZHghehVlbmzFFZwzdvqineTz9VJY4rVTL16IQQ/8rqfkCmJFXChBBCpIUEL9bq/n1YskStsuzfrza8+/iogOXNN01fq1UI8Yz/5kZFRMYyfGUoQLYIYGT7pBBCiLSQ4MWa6PWqNba/P6xYoZo5VK0KU6dCt25QrFiKX5adZ3uFsBSm7gdkDLJ9UgghxMtI8GINLl+GuXPVceGCyl157z21ylK7dqo9WbL7bK8QlkIS2oUQQgjIYeoBiCwSF6dKG3t5qXqoo0ZB2bKqgti1azBzJtSp89JmkqnN9gohjOdFieuS0C6EEMKaSPCSnWgaHD4M/fur1t7vvKM6340cqbrebdkCXbuq7nZpJLO9QpiHod4VcbC1eeY+SWgXQghhbWTbWHZw6xYsXKhyWUJDwd4e2rdX28KaNVONIjJIypdKzo8wD5LQLoQQQkjwYrmSkiAwUJU4XrtW9WipUwd+/lmtuDg6GuRprL18qeT8CHMiCe1CCCGsnQQvlub0aRWwzJuncleKFoUBA6BnT3B3N/jTWftsrzVUeBJCCCGEsBQSvFiC6GhYtkxtC9uzB2xsoGVLtS2sdWuws8vSp7fm2V7J+RFCCCGEMB8SvJgrTYPdu9Uqy9Kl8PAhVKwI334L776rEvJFlpOcHyGEEEII8yHBi7mJiIA//lBBy5kzkDevymHp2RPq1XtpaWNhWNae8yOEEEIIYU4keDEH8fGwbp3aFhYYCHo9NGkCX34Jb78NefKYeoRWy9pzfoQQQgghzIkEL6Z09KhaYVmwAO7cAWdnGD4cevSA8uVNPTrxL2vO+RFCCCGEMCcSvBjb3bvw559qlSU4WCXb+/qq5PvXX1fJ+EIIIYQQQojnSPBiDMnJsHWrClhWrYKEBPDwgOnToUsXKFzY1CMUQgghhBDC7EnwkpXOn3/SkyU8HAoVgr59VfJ9zZqmHp0QQgghhBAWRYIXQ4uJgRUr1CrL9u2QIwd4e8PUqdC2LeTKZeoRCiGEEEIIYZEkeDEETYP9+1XAsnixaipZvjyMHw/du4OLi6lHKIQQQgghhMWT4CUzrl+H+fNV0HLyJOTODZ06qeT7hg2lJ4switUhEVLKWQghhBBWQYKX9EpMhIAAFbBs2KCS8Rs0gN9/V4FLvnymHqGwIqtDIp5pohkRGcvwlaEAEsAIIYQQItuR4CWtwsJUwLJgAdy8CSVKwJAhKvm+onRbF6YxOfDU48DlkdjEZCYHnpLgRQghhBDZjgQvqYmMVDksc+bAgQOQMye0aaO2hb35pvq3ECZ0NTI2XfcLYQlkK6QQQogXkavv/9LrVZUwf39VNSwuDtzd4bvvoFs3KFrU1CMU4rGSjg5EpBColHR0MMFohMg82QophBAiNTlMPQCzcekSjBkD5cpBixYqr6VnTzh4EI4ehU8/lcBFmJ2h3hVxsLV55j4HWxuGestWRmGZUtsKKYQQQlj3yktsLKxerVZZtm5V97VooUocv/UWOMjstbWylG0rj8aU1WO1lJ+HsHyyFVIIIURqrDN4efAA/vc/+PNPldfi6gqjR8N770GZMqYenTAxS9u24uvhnKXjsrSfh7BsshVSCCFEaqxz21ju3LBrF7RurVZc/t/e/YXold51AP/+dprWoSq5aC6a2V1dZA0urjQQ1ouIiFazinTjgtDiheBF6UWxXjQ0sbBFZdlIQATxwkILCtVS2DgUtpIqUfwDq5t2omlNR9JC2UyK9Q+DLg40mz5ezGQ3k06yO533nfM+5/18YGDOMy9zfrxP3uF8c57nd7761eSZZwQXkli2cjfvB/vJUkgA7mc+77w88EBy+XKysPDGr2XuWLaynfeD/bRfSyEB6NN8hpdEcOGeLFvZzvvBfpv2UkgA+jWfy8bgPixb2W4/3o/llbUcP3sxj5x+IcfPXszyytrEfjcAMB7ze+cF7sGyle2m/X5oCPC6aXd10zUOgN5Va23fTnbs2LF26dKlfTsfMPuOn72447K0pYOL+YfTPz1ARcO4O8Qlm3e4nnv68YkEjGn/fgCYlKr6Qmvt2E4/s2wMGJSGAJum3dVN1zgAxkB4AQZ1r43/89YQYNohTkgEYAyEF2BQGiRsmnaIExIBGAPhBRjUyaNLee7px7N0cDGVzb0ue92H0WP3smmHOCERgDHQbQwY3CSf69Fr97Jpd3XTRQ+AMdBtDBgV3csAoG+6jQFzw8Z0ABgv4QUYFRvTAWC8hBdgVGxMB4DxsmEfGBUb0wFgvIQXYHQm2b0MAJgdlo0BAABdEF4AAIAuCC8AAEAXhBcAAKALwgsAANAF4QUAAOiC8AIAAHRBeAEAALrgIZWQZHllzRPZAQBmnPDC3FteWcuZ81eycfNWkmRtfSNnzl9JEgEGAGCGWDbG3Dt3YfW14HLbxs1bOXdhdaCKAADYifDC3LuxvrGrcQAAhiG8MPcOH1zc1TgAAMMQXph7p04cyeKBhW1jiwcWcurEkYEqAgBgJzbsM/dub8rXbQwAYLYJL5DNACOsAADMNsvGAACALggvAABAF4QXAACgC3sKL1X1ZFWtVtW1qjo9qaIAAADu9l2Hl6paSPKHSX4+yWNJ3ldVj02qMAAAgDvt5c7LE0mutda+1lr7VpJPJ3lqMmUBAABst5dWyUtJXr7j+HqSH99bOcCsWl5Z8ywcAGBQewkvtcNY+44XVb0/yfuT5OGHH97D6YChLK+s5cz5K9m4eStJsra+kTPnrySJAMM2Qi4A07SXZWPXkzx0x/GDSW7c/aLW2sdba8daa8cOHTq0h9PB9C2vrOX42Yt55PQLOX72YpZX1oYuaSacu7D6WnC5bePmrZy7sDpQRcyi2yF3bX0jLa+HXJ8jACZlL+HlpSSPVtUjVfXWJO9N8tnJlAX7z4XXvd1Y39jVOPNJyAVg2r7r8NJaezXJB5NcSHI1yWdaa1+eVGGw31x43dvhg4u7Gmc+CbkATNuenvPSWvtca+2HW2s/1Fp7dlJFwRBceN3bqRNHsnhgYdvY4oGFnDpxZKCKmEVCLgDTtqfwAmPiwuveTh5dynNPP56lg4upJEsHF/Pc04/biM02Qi4A07aXbmMwKqdOHNnWUStx4XWnk0eXhBXu6/a/D93GAJgW4QW2uPCCvRNyAZgm4QXuMOYLL8/fAAB6J7zAHPCQSQBgDGzYhzmgDTQAMAbCC8wBbaABgDEQXmAOaAMNAIyB8AJzwPM3AIAxsGEf5oA20ADAGAgvMCfG3AYaAJgPlo0BAABdEF4AAIAuCC8AAEAXhBcAAKALwgsAANAF4QUAAOiC8AIAAHRBeAEAALogvAAAAF0QXgAAgC4ILwAAQBeEFwAAoAvCCwAA0AXhBQAA6ILwAgAAdEF4AQAAuiC8AAAAXXjL0AUAMJ+WV9Zy7sJqbqxv5PDBxZw6cSQnjy4NXRYAM0x4AWDfLa+s5cz5K9m4eStJsra+kTPnrySJAAPAPVk2BsC+O3dh9bXgctvGzVs5d2F1oIoA6IHwAsC+u7G+satxAEiEFwAGcPjg4q7GASARXgAYwKkTR7J4YGHb2OKBhZw6cWSgigDogQ37AOy725vydRsDYDeEFwAGcfLokrACwK5YNgYAAHRBeAEAALogvAAAAF0QXgAAgC4ILwAAQBeEFwAAoAvCCwAA0AXhBQAA6ILwAgAAdEF4AQAAuiC8AAAAXRBeAACALggvAABAF4QXAACgC8ILAADQBeEFAADogvACAAB0QXgBAAC6ILwAAABdEF4AAIAuVGtt/05W9R9Jvr5vJ9zZO5L858A1MB3mdrzM7TiZ1/Eyt+Nlbsdrlub2B1prh3b6wb6Gl1lQVZdaa8eGroPJM7fjZW7HybyOl7kdL3M7Xr3MrWVjAABAF4QXAACgC/MYXj4+dAFMjbkdL3M7TuZ1vMzteJnb8epibuduzwsAANCnebzzAgAAdGguw0tV/U5V/UtVXa6qz1fV4aFrYjKq6lxVfWVrfv+8qg4OXRN7V1W/XFVfrqpvV9XMd0LhjVXVk1W1WlXXqur00PUwGVX1yar6ZlV9aehamKyqeqiq/rqqrm79Pf7Q0DUxGVX1PVX1T1X1z1tz+1tD13Q/c7lsrKq+v7X2P1vf/3qSx1prHxi4LCagqn4uycXW2qtV9btJ0lr7yMBlsUdV9SNJvp3kj5J8uLV2aeCS2IOqWkjyb0l+Nsn1JC8leV9r7V8HLYw9q6qfTPJKkj9prf3o0PUwOVX1ziTvbK19saq+L8kXkpz0ue1fVVWSt7fWXqmqA0n+PsmHWmsvDlzajubyzsvt4LLl7UnmL8GNVGvt8621V7cOX0zy4JD1MBmttauttdWh62BinkhyrbX2tdbat5J8OslTA9fEBLTW/jbJfw9dB5PXWvtGa+2LW9//b5KrSZaGrYpJaJte2To8sPU1s9fGcxlekqSqnq2ql5P8SpJnhq6Hqfi1JH8xdBHAd1hK8vIdx9fjIgi6UVU/mORokn8cthImpaoWqupykm8m+cvW2szO7WjDS1X9VVV9aYevp5KktfbR1tpDST6V5IPDVstuvNHcbr3mo0lezeb80oE3M6+MRu0wNrP/ywe8rqq+N8nzSX7jrpUsdKy1dqu19q5srlh5oqpmdtnnW4YuYFpaa+9+ky/90yQvJPnYFMthgt5obqvqV5P8YpKfafO4qatTu/jM0r/rSR664/jBJDcGqgV4k7b2Qzyf5FOttfND18PktdbWq+pvkjyZZCYbb4z2zsv9VNWjdxy+J8lXhqqFyaqqJ5N8JMl7Wmv/N3Q9wI5eSvJoVT1SVW9N8t4knx24JuA+tjZ1fyLJ1dba7w1dD5NTVYdud2etqsUk784MXxvPa7ex55McyWb3oq8n+UBrbW3YqpiEqrqW5G1J/mtr6EWd5PpXVb+U5A+SHEqynuRya+3EsFWxF1X1C0l+P8lCkk+21p4duCQmoKr+LMlPJXlHkn9P8rHW2icGLYqJqKqfSPJ3Sa5k8/opSX6ztfa54apiEqrqx5L8cTb/Hj+Q5DOttd8etqp7m8vwAgAA9Gcul40BAAD9EV4AAIAuCC8AAEAXhBcAAKALwgsAANAF4QUAAOiC8AIAAHRBeAEAALrw/+Z1ZzX5Bn6RAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "plt.scatter(x, y)\n",
    "plt.plot(np.sort(x), y_predict[np.argsort(x)], color='r')\n",
    "plt.plot(np.sort(x), y_predict2[np.argsort(x)], color='black')\n",
    "plt.plot(np.sort(x), y_predict3[np.argsort(x)], color='blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 更极端的情况呢？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Pipeline] .............. (step 1 of 3) Processing poly, total=   0.0s\n",
      "[Pipeline] ........ (step 2 of 3) Processing std_scaler, total=   0.0s\n",
      "[Pipeline] ........... (step 3 of 3) Processing lin_reg, total=   0.0s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.6870911922673567"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly100_reg = PolynomialRegression(degree=100)\n",
    "poly100_reg.fit(X, y)\n",
    "y_predict4 = poly100_reg.predict(X)\n",
    "mean_squared_error(y, y_predict4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f09fa2655d0>]"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,10))\n",
    "plt.scatter(x, y)\n",
    "plt.plot(np.sort(x), y_predict[np.argsort(x)], color='r')\n",
    "plt.plot(np.sort(x), y_predict2[np.argsort(x)], color='black')\n",
    "plt.plot(np.sort(x), y_predict3[np.argsort(x)], color='blue')\n",
    "plt.plot(np.sort(x), y_predict4[np.argsort(x)], color='orange')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 总结"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "随着阶数的增加，多项式回归算法会去试着尽可能地拟合每一个点，这就造成了对训练数据集的**过拟合 overfitting**现象。而上述数据集如果仅仅使用线性回归算法，又会出现模型效果不佳的现象，即**欠拟合 underfitting**。\n",
    "\n",
    "过拟合和欠拟合的模型泛化能力差，即对未知的数据的预测能力差。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 为什么要有训练数据集和测试数据集"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主要是用来衡量模型的泛化能力。即由此及彼的能力。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.2199965269396573"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 使用\n",
    "lin_reg = LinearRegression()\n",
    "lin_reg.fit(X_train, y_train)\n",
    "y_predict = lin_reg.predict(X_test)\n",
    "mean_squared_error(y_test, y_predict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Pipeline] .............. (step 1 of 3) Processing poly, total=   0.0s\n",
      "[Pipeline] ........ (step 2 of 3) Processing std_scaler, total=   0.0s\n",
      "[Pipeline] ........... (step 3 of 3) Processing lin_reg, total=   0.0s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.8035641056297901"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly_reg = PolynomialRegression(degree=2)\n",
    "poly_reg.fit(X_train, y_train)\n",
    "y_predict2 = poly_reg.predict(X_test)\n",
    "mean_squared_error(y_test, y_predict2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Pipeline] .............. (step 1 of 3) Processing poly, total=   0.0s\n",
      "[Pipeline] ........ (step 2 of 3) Processing std_scaler, total=   0.0s\n",
      "[Pipeline] ........... (step 3 of 3) Processing lin_reg, total=   0.0s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "14075780347.739939"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly100_reg = PolynomialRegression(degree=100)\n",
    "poly100_reg.fit(X_train, y_train)\n",
    "y_predict3 = poly100_reg.predict(X_test)\n",
    "mean_squared_error(y_test, y_predict3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出当degree过高时，在测试集上的均方误差也会越高，这就是过拟合，泛化能力变差了"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 模型复杂度"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "当模型阶数越高，模型越复杂。\n",
    "\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "欠拟合：算法所训练的模型不能完整表述数据关系\n",
    "\n",
    "\n",
    "过拟合：算法所训练的模型过多地表达了数据间的噪音关系\n",
    "\n",
    "\n",
    "机器学习的一大重点就是寻找模型泛化能力最好的地方"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
